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Modular Forms: Basics and Beyond by Goro Shimura

Modular Forms: Basics and Beyond

by Goro Shimura
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Book cover type: Hardcover
  • ISBN13: 9781461421245
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 178
  • Original Price: EUR 139.99
  • Language: English
  • Edition: 2012
  • Item Weight: 440 grams
  • BISAC Subject(s): Number Systems and Numerical Analysis

From the Back Cover

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.

Goro Shimura is currently a professor emeritus of mathematics at Princeton University.


Goro Shimura is currently a professor emeritus of mathematics at Princeton University.

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