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

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Goro Shimura

Princeton Univ Press

1971-8-21

288

GBP 55.00

Paperback

9780691080925

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

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发表于2024-12-29

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

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

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 下载 mobi epub pdf txt 电子书