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Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Joseph H. Silverman 作者

Springer

譯者

1999-09-24 出版日期

538 頁數

USD 54.95 價格

Paperback

Graduate Texts in Mathematics 叢書系列

9780387943282 圖書編碼

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書圖書標籤: 數論數學 elliptic_curves elliptic curves 解析數論7 Number_Theory

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發表於2024-06-24

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書用戶評價

評分☆☆☆☆☆

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評分☆☆☆☆☆

only chapter 2

評分☆☆☆☆☆

only chapter 2

評分☆☆☆☆☆

only chapter 2

評分☆☆☆☆☆

only chapter 2

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書著者簡介

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Advanced Topics in the Arithmetic of Elliptic Curves 在線電子書圖書描述

This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grössencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Néron models of elliptic curves, with a discussion of special fibers, conductors, and Ogg's formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tate's theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields.

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