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Springer Modular Forms: Basics and Beyond (Springer Monographs in Mathematics)

Name: Modular Forms: Basics and Beyond (Springer Monographs in Mathematics)
Brand: Springer

Mathematical Analysis

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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 Specifications

Brand: Springer
Format: paperback
ASIN: 148999355X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Publication Date: 25 January 2014
Listed Since: 05 December 2013

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Springer Modular Forms: Basics and Beyond (Springer Monographs in Mathematics)

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