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Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 電子書 下載

Introduction to the Arithmetic Theory of Automorphic Functions
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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 電子書 下載

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發表於2024-12-27

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 電子書 下載

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 電子書 下載

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 電子書 下載


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出版者:Princeton Univ Press
作者:Goro Shimura
出品人:
頁數:288
譯者:
出版時間:1971-8-21
價格:GBP 55.00
裝幀:Paperback
isbn號碼:9780691080925
叢書系列:

圖書標籤: 數學  自守函數  誌村五郎  number_theory  automorphic_forms  算術  紅寶  復分析7   

Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 電子書 下載
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Introduction to the Arithmetic Theory of Automorphic Functions 2024 pdf epub mobi 電子書 下載

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