Goro Shimura

(Author)

Modular Forms: Basics and Beyond (2012)Paperback - 2012, 25 January 2014

Modular Forms: Basics and Beyond (2012)
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Part of Series
Springer Monographs in Mathematics
Print Length
178 pages
Language
English
Publisher
Springer
Date Published
25 Jan 2014
ISBN-10
148999355X
ISBN-13
9781489993557

Description

This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable.

One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically. Ultimately, we concentrate on the following two themes:

(I) The correspondence between the forms of half-integral weight and those of integral weight.

(II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight.

Product Details

Author:
Goro Shimura
Book Edition:
2012
Book Format:
Paperback
Country of Origin:
NL
Date Published:
25 January 2014
Dimensions:
23.39 x 15.6 x 1.02 cm
ISBN-10:
148999355X
ISBN-13:
9781489993557
Language:
English
Location:
New York, NY
Pages:
178
Publisher:
Weight:
272.16 gm

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