Introduction to Siegel Modular Forms and Dirichlet Series 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Andrianov, Anatoli 作者

Springer

譯者

2008-11 出版日期

196 頁數

$ 67.74 價格

universitext 叢書系列

9780387787527 圖書編碼

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發表於2024-11-25

Introduction to Siegel Modular Forms and Dirichlet Series 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Introduction to Siegel Modular Forms and Dirichlet Series 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Introduction to Siegel Modular Forms and Dirichlet Series 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Introduction to Siegel Modular Forms and Dirichlet Series 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Introduction to Siegel Modular Forms and Dirichlet Series 在線電子書圖書描述

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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