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Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书

Introduction to the Arithmetic Theory of Automorphic Functions
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发表于2024-09-28

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书


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出版者:Princeton Univ Press
作者:Goro Shimura
出品人:
页数:288
译者:
出版时间:1971-8-21
价格:GBP 55.00
装帧:Paperback
isbn号码:9780691080925
丛书系列:

图书标签: 数学  自守函数  志村五郎  number_theory  automorphic_forms  算术  红宝  复分析7   

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书 图书描述

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical aspects. After two chapters geared toward elementary levels, there follows a detailed treatment of the theory of Hecke operators, which associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed. The main question is the construction of abelian extensions of certain algebraic number fields, which is traditionally called "Hilbert's twelfth problem". Another advanced topic is the determination of the zeta function of an algebraic curve uniformized by modular functions, which supplies an indispensable background for the recent proof of Fermat's last theorem by Wiles.

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书
Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 电子书
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