"자코비 세타함수"의 두 판 사이의 차이
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(피타고라스님이 이 페이지에 four_square_theorem_and_theta_funtion.pdf 파일을 등록하셨습니다.) |
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<h5>간단한 소개</h5> | <h5>간단한 소개</h5> | ||
| − | * 세타함수의 정의 | + | * 세타함수의 정의<br><math>\theta(\tau)= \sum_{n=-\infty}^\infty \exp(\pi i n^2\tau)</math><br> |
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<h5>위키링크</h5> | <h5>위키링크</h5> | ||
| − | + | * http://en.wikipedia.org/wiki/Theta_functions | |
| 42번째 줄: | 44번째 줄: | ||
** G. D. Nichols | ** G. D. Nichols | ||
** <cite>The American Mathematical Monthly</cite>, Vol. 45, No. 6 (Jun. - Jul., 1938), pp. 363-368 | ** <cite>The American Mathematical Monthly</cite>, Vol. 45, No. 6 (Jun. - Jul., 1938), pp. 363-368 | ||
| + | * [http://www.amazon.com/First-Course-Modular-Graduate-Mathematics/dp/038723229X A First Course in Modular Forms (Graduate Texts in Mathematics)]<br> | ||
| + | ** Fred Diamond and Jerry Shurman | ||
| + | ** 18-19p [[1971206/attachments/1124950|four_square_theorem_and_theta_funtion.pdf]] | ||
* [http://www.math.ohio-state.edu/%7Eeconrad/Jacobi/Jacobi.html Karl Gustav Jacob Jacobi]<br> | * [http://www.math.ohio-state.edu/%7Eeconrad/Jacobi/Jacobi.html Karl Gustav Jacob Jacobi]<br> | ||
| − | ** [http://www.math.ohio-state.edu/%7Eeconrad/Jacobi/sumofsq Jacobi's Four Square Theorem]. (Also available in [http://www.math.ohio-state.edu/%7Eeconrad/Jacobi/sumofsq.ps postscript format] [11 pages].) [CONSTRUCTION IN PROGRESS] | + | ** [http://www.math.ohio-state.edu/%7Eeconrad/Jacobi/sumofsq Jacobi's Four Square Theorem]. (Also available in [http://www.math.ohio-state.edu/%7Eeconrad/Jacobi/sumofsq.ps postscript format] [11 pages].) [CONSTRUCTION IN PROGRESS]<br> <br> |
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2009년 4월 25일 (토) 18:56 판
간단한 소개
- 세타함수의 정의
\(\theta(\tau)= \sum_{n=-\infty}^\infty \exp(\pi i n^2\tau)\)
관련된 학부 과목과 미리 알고 있으면 좋은 것들
관련된 대학원 과목
관련된 다른 주제들
표준적인 도서 및 추천도서
- Brief Introduction to Theta Functions
- BELLMAN, RICHARD
- Tata Lectures on Theta I,II,III
- David Mumford
위키링크
참고할만한 자료
- Applications of Theta Functions to Arithmetic
- G. D. Nichols
- The American Mathematical Monthly, Vol. 45, No. 6 (Jun. - Jul., 1938), pp. 363-368
- A First Course in Modular Forms (Graduate Texts in Mathematics)
- Fred Diamond and Jerry Shurman
- 18-19p four_square_theorem_and_theta_funtion.pdf
- Karl Gustav Jacob Jacobi
- Jacobi's Four Square Theorem. (Also available in postscript format [11 pages].) [CONSTRUCTION IN PROGRESS]
- Jacobi's Four Square Theorem. (Also available in postscript format [11 pages].) [CONSTRUCTION IN PROGRESS]