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Titlebook: Modular Forms with Integral and Half-Integral Weights; Xueli Wang,Dingyi Pei Book 2012 Science Press, Beijing and Springer Berlin Heidelbe

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發(fā)表于 2025-3-21 18:10:44 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Modular Forms with Integral and Half-Integral Weights
編輯Xueli Wang,Dingyi Pei
視頻videohttp://file.papertrans.cn/638/637867/637867.mp4
概述The first book available on modular forms dealing with integral and half-integral weights in a unified framework.The first book dealing with in detail Eisenstein series with half-integral weights.Incl
圖書(shū)封面Titlebook: Modular Forms with Integral and Half-Integral Weights;  Xueli Wang,Dingyi Pei Book 2012 Science Press, Beijing and Springer Berlin Heidelbe
描述."Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogonal complement of the space of cusp forms; as is well known, this space is spanned by Eisenstein series for any weight greater than or equal to 2. The book proves that the conclusion holds true for weight 3/2 by explicitly constructing a basis of the orthogonal complement of the space of cusp forms. The problem for weight 1/2, which was solved by Serre and Stark, will also be discussed in this book. The book provides readers not only basic knowledge on this topic but also a general survey of modern investigation methods of modular forms with integral and half-integral weights. It will be of significant interest to researchers and practitioners in modular forms of mathematics. .Dr. Xueli Wang is a Professor at South China Normal University, China. Dingyi Pei is a Professor at Guangzhou University, China..
出版日期Book 2012
關(guān)鍵詞Eisenstein series; Half-integral weights; Modular forms; Quadratic forms
版次1
doihttps://doi.org/10.1007/978-3-642-29302-3
isbn_ebook978-3-642-29302-3
copyrightScience Press, Beijing and Springer Berlin Heidelberg 2012
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https://doi.org/10.1007/978-3-642-29302-3Eisenstein series; Half-integral weights; Modular forms; Quadratic forms
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Modular Forms with Integral and Half-Integral Weights978-3-642-29302-3
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in detail Eisenstein series with half-integral weights.Incl."Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fund
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Book 2012egral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogonal complement of the space of cusp forms; as is well known, this space is spanned by Eisenstein series for any weight greater than or equal to 2. The book pro
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