系数an也称 Fourier coefficients, 因为上式其实就是对f做了一下傅立叶展开。 记Mk(Γ)为modular forms of weightkonΓ构成的集合,则其为C上的一个线性空间。考虑M∗(Γ)=⨁k=0∞Mk(Γ),则函数间的point-wise multiplication自然给出其上一个乘法结构,并且易知其满足 fg∈Mk+l(Γ),for anyf∈Mk(Γ)...
Modular forms 让研究生新生讨论用的一本书,个人读了第六章。 简单说一下。 Modular forms相关理论发展至今,已经是非常庞大了。 描述classical modular forms的若干书籍,除了Miyake的这本书, 另外还有 Iwaniec, Topics in classical automorphic forms; Diamond and Shurman, A First Co... (展开) 16 0回应 ...
11. Modular forms Product formula for j是Modular forms 模形式 中英字幕 菲尔兹奖得主 Richard E. BORCHERDS的第11集视频,该合集共计13集,视频收藏或关注UP主,及时了解更多相关视频内容。
This book presents 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 such diverse subjects as the theory of quadratic ...
由上面的讨论可见,模形式可以来自于许多构造过程,其应用不止这些,下面的应用摘录自Modular Forms: A Computational Approach William A. Stein:二.Examples we should keep in our mind 著名level 1的模形式(k=2,3,4,5,…)其实对奇数也可以定义,不过由对称性结果是0,对k为偶数我们有:证明...
Journal of Soviet Mathematics Modular forms A. A. Panchishkin 154Accesses Explore all metrics Abstract In this survey there are included results of recent years, concerning the theory of modular forms and representations connected with them of adele groups and Galois groups. There is discussed the...
Maass equidistribution for siegel modular forms 01:06:08 Matomaki:mollifying Dirichlet L-functions and their derivatives 54:37 mean values and quantum variance for degenerate Eisenstein series 37:27 Non-vanishing of twists of L-functions by characters 01:05:24 on sign of Fourier coefficients...
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 ...
海外直订Hilbert Modular Forms 希尔伯特模形式 作者:Freitag, Eberhard出版社:Springer出版时间:2010年12月 手机专享价 ¥ 当当价 降价通知 ¥553.00 配送至 广东佛山市 至 北京市东城区 服务 由“中华商务进口图书旗舰店”发货,并提供售后服务。 加入购物车 ...