"코헨 함수"의 두 판 사이의 차이
Pythagoras0 (토론 | 기여) |
Pythagoras0 (토론 | 기여) |
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| 1번째 줄: | 1번째 줄: | ||
| + | ==테이블== | ||
| + | \begin{array}{cccc} | ||
| + | n & 12 H(1,n) & -252 H(3,n) & 132 H(5,n) \\ | ||
| + | 0 & -1 & 1 & -1 \\ | ||
| + | 3 & 4 & 56 & 88 \\ | ||
| + | 4 & 6 & 126 & 330 \\ | ||
| + | 7 & 12 & 576 & 4224 \\ | ||
| + | 8 & 12 & 756 & 7524 \\ | ||
| + | 11 & 12 & 1512 & 30600 \\ | ||
| + | 12 & 16 & 2072 & 46552 \\ | ||
| + | 15 & 24 & 4032 & 130944 \\ | ||
| + | 16 & 18 & 4158 & 169290 \\ | ||
| + | 19 & 12 & 5544 & 355080 \\ | ||
| + | 20 & 24 & 7560 & 464904 \\ | ||
| + | 23 & 36 & 12096 & 899712 \\ | ||
| + | 24 & 24 & 11592 & 1052040 \\ | ||
| + | 27 & 16 & 13664 & 1732192 \\ | ||
| + | 28 & 24 & 16704 & 2099328 \\ | ||
| + | 31 & 36 & 24192 & 3421440 \\ | ||
| + | 32 & 36 & 24948 & 3859812 \\ | ||
| + | 35 & 24 & 27216 & 5593104 \\ | ||
| + | 36 & 30 & 31878 & 6522450 \\ | ||
| + | 39 & 48 & 44352 & 9651840 \\ | ||
| + | 40 & 24 & 39816 & 10433544 \\ | ||
| + | 43 & 12 & 41832 & 14002824 \\ | ||
| + | 44 & 48 & 55944 & 16187400 \\ | ||
| + | 47 & 60 & 72576 & 22429440 \\ | ||
| + | 48 & 40 & 66584 & 23836120 \\ | ||
| + | \end{array} | ||
| + | |||
| + | |||
| + | \begin{array}{ccc} | ||
| + | n & -120 H(2,n) & 240 H(4,n) \\ | ||
| + | 0 & -1 & 1 \\ | ||
| + | 1 & 10 & 2 \\ | ||
| + | 4 & 70 & 242 \\ | ||
| + | 5 & 48 & 480 \\ | ||
| + | 8 & 120 & 2640 \\ | ||
| + | 9 & 250 & 4322 \\ | ||
| + | 12 & 240 & 11040 \\ | ||
| + | 13 & 240 & 13920 \\ | ||
| + | 16 & 550 & 30962 \\ | ||
| + | 17 & 480 & 39360 \\ | ||
| + | 20 & 528 & 65760 \\ | ||
| + | 21 & 480 & 73920 \\ | ||
| + | 24 & 720 & 125280 \\ | ||
| + | 25 & 1210 & 156002 \\ | ||
| + | 28 & 960 & 216960 \\ | ||
| + | 29 & 720 & 226080 \\ | ||
| + | 32 & 1080 & 340560 \\ | ||
| + | 33 & 1440 & 406080 \\ | ||
| + | 36 & 1750 & 522962 \\ | ||
| + | 37 & 1200 & 541920 \\ | ||
| + | 40 & 1680 & 756960 \\ | ||
| + | 41 & 1920 & 860160 \\ | ||
| + | 44 & 1680 & 1033440 \\ | ||
| + | 45 & 1488 & 1063200 \\ | ||
| + | 48 & 2160 & 1424160 \\ | ||
| + | 49 & 3370 & 1646402 \\ | ||
| + | \end{array} | ||
| + | |||
| + | |||
| + | ==관련된 항목들== | ||
| + | * [[지겔-아이젠슈타인 급수]] | ||
| + | |||
| + | |||
==관련논문== | ==관련논문== | ||
* Cohen, Henri. 1975. “Sums Involving the Values at Negative Integers of L-Functions of Quadratic Characters.” Mathematische Annalen 217 (3): 271–85. doi:10.1007/BF01436180. | * Cohen, Henri. 1975. “Sums Involving the Values at Negative Integers of L-Functions of Quadratic Characters.” Mathematische Annalen 217 (3): 271–85. doi:10.1007/BF01436180. | ||
2015년 6월 10일 (수) 00:15 판
테이블
\begin{array}{cccc} n & 12 H(1,n) & -252 H(3,n) & 132 H(5,n) \\ 0 & -1 & 1 & -1 \\ 3 & 4 & 56 & 88 \\ 4 & 6 & 126 & 330 \\ 7 & 12 & 576 & 4224 \\ 8 & 12 & 756 & 7524 \\ 11 & 12 & 1512 & 30600 \\ 12 & 16 & 2072 & 46552 \\ 15 & 24 & 4032 & 130944 \\ 16 & 18 & 4158 & 169290 \\ 19 & 12 & 5544 & 355080 \\ 20 & 24 & 7560 & 464904 \\ 23 & 36 & 12096 & 899712 \\ 24 & 24 & 11592 & 1052040 \\ 27 & 16 & 13664 & 1732192 \\ 28 & 24 & 16704 & 2099328 \\ 31 & 36 & 24192 & 3421440 \\ 32 & 36 & 24948 & 3859812 \\ 35 & 24 & 27216 & 5593104 \\ 36 & 30 & 31878 & 6522450 \\ 39 & 48 & 44352 & 9651840 \\ 40 & 24 & 39816 & 10433544 \\ 43 & 12 & 41832 & 14002824 \\ 44 & 48 & 55944 & 16187400 \\ 47 & 60 & 72576 & 22429440 \\ 48 & 40 & 66584 & 23836120 \\ \end{array}
\begin{array}{ccc}
n & -120 H(2,n) & 240 H(4,n) \\
0 & -1 & 1 \\
1 & 10 & 2 \\
4 & 70 & 242 \\
5 & 48 & 480 \\
8 & 120 & 2640 \\
9 & 250 & 4322 \\
12 & 240 & 11040 \\
13 & 240 & 13920 \\
16 & 550 & 30962 \\
17 & 480 & 39360 \\
20 & 528 & 65760 \\
21 & 480 & 73920 \\
24 & 720 & 125280 \\
25 & 1210 & 156002 \\
28 & 960 & 216960 \\
29 & 720 & 226080 \\
32 & 1080 & 340560 \\
33 & 1440 & 406080 \\
36 & 1750 & 522962 \\
37 & 1200 & 541920 \\
40 & 1680 & 756960 \\
41 & 1920 & 860160 \\
44 & 1680 & 1033440 \\
45 & 1488 & 1063200 \\
48 & 2160 & 1424160 \\
49 & 3370 & 1646402 \\
\end{array}
관련된 항목들
관련논문
- Cohen, Henri. 1975. “Sums Involving the Values at Negative Integers of L-Functions of Quadratic Characters.” Mathematische Annalen 217 (3): 271–85. doi:10.1007/BF01436180.