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클루스터만 합 - 편집 역사
2024-03-28T15:20:08Z
이 문서의 편집 역사
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2021년 2월 17일 (수) 10:26에 Pythagoras0님의 편집
2021-02-17T10:26:14Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2021년 2월 17일 (수) 10:26 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >28번째 줄:</td>
<td colspan="2" class="diff-lineno">28번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== 메타데이터 ==</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>==메타데이터==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===위키데이터===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===위키데이터===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ID : [https://www.wikidata.org/wiki/Q6421354 Q6421354]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ID : [https://www.wikidata.org/wiki/Q6421354 Q6421354]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">===Spacy 패턴 목록===</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [{'LOWER': 'kloosterman'}, {'LEMMA': 'sum'}]</ins></div></td></tr>
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Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=48933&oldid=prev
Pythagoras0: /* 메타데이터 */ 새 문단
2020-12-28T14:23:05Z
<p><span dir="auto"><span class="autocomment">메타데이터: </span> 새 문단</span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2020년 12월 28일 (월) 14:23 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l27" >27번째 줄:</td>
<td colspan="2" class="diff-lineno">27번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== 메타데이터 ==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">===위키데이터===</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* ID : [https://www.wikidata.org/wiki/Q6421354 Q6421354]</ins></div></td></tr>
</table>
Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=33239&oldid=prev
2020년 11월 12일 (목) 14:59에 Pythagoras0님의 편집
2020-11-12T14:59:33Z
<p></p>
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<col class="diff-marker" />
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 이전 판</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2020년 11월 12일 (목) 14:59 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2" >2번째 줄:</td>
<td colspan="2" class="diff-lineno">2번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* <math>a,b\in \mathbb{Z}</math>와 소수 <math>p</math>에 대하여</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* <math>a,b\in \mathbb{Z}</math>와 소수 <math>p</math>에 대하여</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+b\bar{x})/p},\quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } p</math<del class="diffchange diffchange-inline">><br</del>></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+b\bar{x})/p},\quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } p</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* 더 일반적으로 <math>a,b,m\in \mathbb{Z}</math>에 대하여</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* 더 일반적으로 <math>a,b,m\in \mathbb{Z}</math>에 대하여</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;m)=\sum_{1\leq x\leq m-1,\ gcd(x,m)=1 } e^{2\pi i (ax+b\bar{x})/m}, \quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } m</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;m)=\sum_{1\leq x\leq m-1,\ gcd(x,m)=1 } e^{2\pi i (ax+b\bar{x})/m}, \quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } m</math></div></td></tr>
</table>
Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=33073&oldid=prev
2020년 11월 12일 (목) 08:07에 Pythagoras0님의 편집
2020-11-12T08:07:49Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="ko">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 이전 판</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2020년 11월 12일 (목) 08:07 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >1번째 줄:</td>
<td colspan="2" class="diff-lineno">1번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==개요==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==개요==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* <del class="diffchange diffchange-inline">$</del>a,b\in \mathbb{Z}<del class="diffchange diffchange-inline">$</del>와 소수 <del class="diffchange diffchange-inline">$</del>p<del class="diffchange diffchange-inline">$</del>에 대하여</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline"><math></ins>a,b\in \mathbb{Z}<ins class="diffchange diffchange-inline"></math></ins>와 소수 <ins class="diffchange diffchange-inline"><math></ins>p<ins class="diffchange diffchange-inline"></math></ins>에 대하여</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+b\bar{x})/p},\quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } p</math><br></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+b\bar{x})/p},\quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } p</math><br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* 더 일반적으로 <del class="diffchange diffchange-inline">$</del>a,b,m\in \mathbb{Z}<del class="diffchange diffchange-inline">$</del>에 대하여</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* 더 일반적으로 <ins class="diffchange diffchange-inline"><math></ins>a,b,m\in \mathbb{Z}<ins class="diffchange diffchange-inline"></math></ins>에 대하여</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;m)=\sum_{1\leq x\leq m-1,\ gcd(x,m)=1 } e^{2\pi i (ax+b\bar{x})/m}, \quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } m</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>K(a,b;m)=\sum_{1\leq x\leq m-1,\ gcd(x,m)=1 } e^{2\pi i (ax+b\bar{x})/m}, \quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } m</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=32273&oldid=prev
Pythagoras0: /* 관련논문 */
2015-11-06T06:36:29Z
<p><span dir="auto"><span class="autocomment">관련논문</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2015년 11월 6일 (금) 06:36 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l21" >21번째 줄:</td>
<td colspan="2" class="diff-lineno">21번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==관련논문==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==관련논문==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* http://arxiv.org/abs/1510.05191</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* <ins class="diffchange diffchange-inline">Kowalski, E., Ph Michel, and W. Sawin. “Bilinear Forms with Kloosterman Sums and Applications.” arXiv:1511.01636 [math], November 5, 2015. </ins>http://arxiv.org/abs/<ins class="diffchange diffchange-inline">1511.01636.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* Ahlgren, Scott, and Nickolas Andersen. “Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group.” arXiv:</ins>1510.05191 <ins class="diffchange diffchange-inline">[math], October 17, 2015. http://arxiv.org/abs/1510.05191.</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Burkhardt, Paula, Alice Zhuo-Yu Chan, Gabriel Currier, Stephan Ramon Garcia, Florian Luca, and Hong Suh. ‘Visual Properties of Generalized Kloosterman Sums’. arXiv:1505.00018 [math], 30 April 2015. http://arxiv.org/abs/1505.00018.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Burkhardt, Paula, Alice Zhuo-Yu Chan, Gabriel Currier, Stephan Ramon Garcia, Florian Luca, and Hong Suh. ‘Visual Properties of Generalized Kloosterman Sums’. arXiv:1505.00018 [math], 30 April 2015. http://arxiv.org/abs/1505.00018.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td></tr>
</table>
Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=32247&oldid=prev
Pythagoras0: /* 관련논문 */
2015-10-20T08:43:50Z
<p><span dir="auto"><span class="autocomment">관련논문</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 이전 판</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2015년 10월 20일 (화) 08:43 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l21" >21번째 줄:</td>
<td colspan="2" class="diff-lineno">21번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==관련논문==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==관련논문==</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* http://arxiv.org/abs/1510.05191</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Burkhardt, Paula, Alice Zhuo-Yu Chan, Gabriel Currier, Stephan Ramon Garcia, Florian Luca, and Hong Suh. ‘Visual Properties of Generalized Kloosterman Sums’. arXiv:1505.00018 [math], 30 April 2015. http://arxiv.org/abs/1505.00018.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Burkhardt, Paula, Alice Zhuo-Yu Chan, Gabriel Currier, Stephan Ramon Garcia, Florian Luca, and Hong Suh. ‘Visual Properties of Generalized Kloosterman Sums’. arXiv:1505.00018 [math], 30 April 2015. http://arxiv.org/abs/1505.00018.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td></tr>
</table>
Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=31487&oldid=prev
Pythagoras0: /* 사전 형태의 자료 */
2015-05-04T02:02:39Z
<p><span dir="auto"><span class="autocomment">사전 형태의 자료</span></span></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 이전 판</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2015년 5월 4일 (월) 02:02 판</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18" >18번째 줄:</td>
<td colspan="2" class="diff-lineno">18번째 줄:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==사전 형태의 자료==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==사전 형태의 자료==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* http://en.wikipedia.org/wiki/Kloosterman_sum</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* http://en.wikipedia.org/wiki/Kloosterman_sum</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==관련논문==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* Burkhardt, Paula, Alice Zhuo-Yu Chan, Gabriel Currier, Stephan Ramon Garcia, Florian Luca, and Hong Suh. ‘Visual Properties of Generalized Kloosterman Sums’. arXiv:1505.00018 [math], 30 April 2015. http://arxiv.org/abs/1505.00018.</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[분류:정수론]]</div></td></tr>
</table>
Pythagoras0
https://wiki.mathnt.net/index.php?title=%ED%81%B4%EB%A3%A8%EC%8A%A4%ED%84%B0%EB%A7%8C_%ED%95%A9&diff=27383&oldid=prev
Pythagoras0: 새 문서: ==개요== * 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념 * $a,b\in \mathbb{Z}$와 소수 $p$에 대하여 :<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+...
2013-03-28T23:41:27Z
<p>새 문서: ==개요== * 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념 * $a,b\in \mathbb{Z}$와 소수 $p$에 대하여 :<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+...</p>
<p><b>새 문서</b></p><div>==개요==<br />
* 모듈라 형식의 푸리에 계수를 estimate 하기 위한 개념<br />
* $a,b\in \mathbb{Z}$와 소수 $p$에 대하여<br />
:<math>K(a,b;p)=\sum_{1\leq x\leq p-1}e^{2i\pi (ax+b\bar{x})/p},\quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } p</math><br><br />
* 더 일반적으로 $a,b,m\in \mathbb{Z}$에 대하여<br />
:<math>K(a,b;m)=\sum_{1\leq x\leq m-1,\ gcd(x,m)=1 } e^{2\pi i (ax+b\bar{x})/m}, \quad\text{where}\quad x\bar{x}\equiv 1\text{ mod } m</math><br />
<br />
<br />
==메모==<br />
* http://blogs.ethz.ch/kowalski/2010/02/26/the-fourth-moment-of-kloosterman-sums/<br />
* Kloosterman, H. D. [http://www.springerlink.com/content/cq7681384842j128/?p=5679d1bb49fd45a3987db6d83a1147b6&pi=1 On the representation of numbers in the form ax² + by² + cz² + dt²], Acta Mathematica 49 (1926), pp. 407-464<br />
<br />
<br />
==관련된 항목들==<br />
* [[타원 모듈라 j-함수 (elliptic modular function, j-invariant)]]<br />
<br />
<br />
==사전 형태의 자료==<br />
* http://en.wikipedia.org/wiki/Kloosterman_sum<br />
<br />
<br />
[[분류:정수론]]</div>
Pythagoras0