"Singular moduli의 대각합 (traces of singular moduli)"의 두 판 사이의 차이
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* Kaneko, M., The Fourier coefficients and the singular moduli of the elliptic modular function j(τ), Mem. Fac.Eng. Design, Kyoto Inst. Tech. 19 (1996), 1–5. | * Kaneko, M., The Fourier coefficients and the singular moduli of the elliptic modular function j(τ), Mem. Fac.Eng. Design, Kyoto Inst. Tech. 19 (1996), 1–5. | ||
* Kaneko, M., Traces of singular moduli and the Fourier coefficients of the elliptic modular function j(τ), CRM Proceedings and Lecture Notes 19 (1999), 173–176. | * Kaneko, M., Traces of singular moduli and the Fourier coefficients of the elliptic modular function j(τ), CRM Proceedings and Lecture Notes 19 (1999), 173–176. | ||
+ | * Goro Shimura established in his series of works the general principle that, the “arithmeticity” of modular forms (in far general setting) induced from the algebraicity of Fourier coefficients, and the one induced from the algebraicity of values at CM (complex multiplication) points, are equivalent. | ||
2015년 6월 17일 (수) 00:02 판
메모
- Kaneko, M., The Fourier coefficients and the singular moduli of the elliptic modular function j(τ), Mem. Fac.Eng. Design, Kyoto Inst. Tech. 19 (1996), 1–5.
- Kaneko, M., Traces of singular moduli and the Fourier coefficients of the elliptic modular function j(τ), CRM Proceedings and Lecture Notes 19 (1999), 173–176.
- Goro Shimura established in his series of works the general principle that, the “arithmeticity” of modular forms (in far general setting) induced from the algebraicity of Fourier coefficients, and the one induced from the algebraicity of values at CM (complex multiplication) points, are equivalent.
관련된 항목들
리뷰, 에세이, 강의노트
- Kaneko, Traces of singular moduli and the Fourier coefficients of the elliptic modular function j(τ)
- Duke and Jenkins, Notes on singular moduli and modular forms
관련논문
- “Traces of CM Values of Modular Functions : Journal Fur Die Reine Und Angewandte Mathematik (Crelles Journal).”http://www.degruyter.com/view/j/crll.2006.2006.issue-594/crelle.2006.034/crelle.2006.034.xml.
- http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/0965-11.pdf
- Zagier, Don. Traces of singular Moduli in Motives, Polyogarithms and Hodge Theory (Part II: Hodge Theory) http://people.mpim-bonn.mpg.de/zagier/files/tex/TracesSingModuli/fulltext.pdf