Modular Forms and Functions 2025 pdf epub mobi 电子书 图书描述 This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like...
MODULAR FORMS AND FUNCTIONSdoi:10.1112/blms/10.2.233Swinnerton‐Dyer, H. P. FOxford University PressBulletin of the London Mathematical Society
Nonvanishing theorems for L-functions of modular forms and their derivatives Let f be a cuspidal normalized newform of even weight k on Γ 0 (M), let D be a fundamental discriminant with associated quadratic character χ D and suppose that (D,M)=1. Let L(s,f,χ D ) be the L-ser...
Goro Shimura, “On certain reciprocity-laws for theta functions and modular forms,” Acta Math.,141, Nos. 1–2, 35–71 (1978). Google Scholar Goro Shimura, “On modular forms of half integral weight,” Ann. Math.,97, No. 3, 440–481 (1973). Google Scholar Goro Shimura, “On ...
报告人:刘治国 教授报告简介:The theory of modular forms, as a core content in the field of number theory, holds a pivotal position in the development of modern mathematics. It not only has profound intrinsic connections with multiple branches of ...
1. The only entire modular forms of weight are the constant functions. 2. If is odd, , or , then the only entire modular form of weight is the zero function. 3. Every nonconstant entire modular form has weight , where is even. 4. The only entire cusp form of weight is the ...
Elliptic Curves, Modular Forms, and Their L-functions 2025 pdf epub mobi 用户评价 评分☆☆☆ 一本薄书介绍三个大对象,必须是导引书,但导引的不错。 评分☆☆☆ 最有用的部分是介绍Sage的附录 评分☆☆☆ 最有用的部分是介绍Sage的附录 评分☆☆☆ 最...
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Modular Functions of One Variable IIR. P. Langlands, Modular forms and ℓ-adic representations, Modular forms of one variable II, Lecture note in Math., vol. 349, 1973, pp. 361-500.LANGLANDS, R., Modular forms and ℓ-adic representations , in Springer L. N. 349(1973)....
Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic ...