Modular Forms and Functions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Rankin, Robert A. 作者

译者

2008-12 出版日期

400 页数

$ 97.18 价格

丛书系列

9780521091688 图书编码

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Modular Forms and Functions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics.

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