Introduction to Siegel Modular Forms and Dirichlet Series

Introduction to Siegel Modular Forms and Dirichlet Series pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Andrianov, Anatoli
出品人:
页数:196
译者:
出版时间:2008-11
价格:$ 67.74
装帧:
isbn号码:9780387787527
丛书系列:universitext
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This is intended for a graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The author's aim is to present a concise and self-contained introduction to an important and developing area of number theory that will serve to attract young researchers to this beautiful field. Topics include: * analytical properties of radial Dirichlet series attached to modular forms of genuses 1 and 2; * the abstract theory of Hecke-Shimura rings for symplectic and related groups; * action of Hecke operators on Siegel modular forms; * applications of Hecke operators to a study of multiplicative properties of Fourier coefficients of modular forms; * Hecke zeta functions of modular forms in one variable and to spinor (or Andrianov) zeta functions of Siegel modular forms of genus two; * the proof of analytical continuation and functional equation (under certain assumptions) for Euler products associated with modular forms of genus two. This text contains a number of exercises and the only prerequisites are standard courses in Algebra and Calculus (one and several variables).

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