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Titlebook: Modular Forms: Basics and Beyond; Goro Shimura Book 2012 Springer Science+Business Media, LLC 2012 Dirichlet series.Eisenstein series.arit

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書目名稱Modular Forms: Basics and Beyond
編輯Goro Shimura
視頻videohttp://file.papertrans.cn/638/637868/637868.mp4
概述Contains advanced material but always reminds the reader of basic facts.Features the theory of modular forms of half-integral weight, and the discussion of theta functions and Eisenstein series of hol
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Modular Forms: Basics and Beyond;  Goro Shimura Book 2012 Springer Science+Business Media, LLC 2012 Dirichlet series.Eisenstein series.arit
描述.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..
出版日期Book 2012
關鍵詞Dirichlet series; Eisenstein series; arithmeticity; automorphic eigenforms; modular forms of half-integr
版次1
doihttps://doi.org/10.1007/978-1-4614-2125-2
isbn_softcover978-1-4899-9355-7
isbn_ebook978-1-4614-2125-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media, LLC 2012
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Modular Forms: Basics and Beyond978-1-4614-2125-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
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Springer Monographs in Mathematicshttp://image.papertrans.cn/m/image/637868.jpg
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1439-7382 and those of integral weight. .(II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight..978-1-4899-9355-7978-1-4614-2125-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
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