Goro Shimura

(Author)

Modular Forms: Basics and Beyond (2012)Hardcover - 2012, 17 November 2011

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
17 Nov 2011
ISBN-10
1461421241
ISBN-13
9781461421245

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:
Hardcover
Country of Origin:
NL
Date Published:
17 November 2011
Dimensions:
23.39 x 15.6 x 1.27 cm
ISBN-10:
1461421241
ISBN-13:
9781461421245
Language:
English
Location:
New York, NY
Pages:
178
Publisher:
Weight:
439.98 gm

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