| 书目名称 | Modular Forms with Integral and Half-Integral Weights | | 编辑 | Xueli Wang,Dingyi Pei | | 视频video | | | 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 | | 图书封面 |  | | 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 | | 关键词 | Eisenstein series; Half-integral weights; Modular forms; Quadratic forms | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-29302-3 | | isbn_ebook | 978-3-642-29302-3 | | copyright | Science Press, Beijing and Springer Berlin Heidelberg 2012 |
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发表于 2025-3-21 18:10:44
