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schema:description "\"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." ;
schema:genre "Electronic books" , "Electronic books"@en ;
schema:name "Modular forms with integral and half-integral weights"@en , "Modular forms with integral and half-integral weights" , "Modular Forms with Integral and Half-Integral Weights" , "Modular Forms with Integral and Half-Integral Weights"@en ;
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a schema:Topic ;
schema:name "Modulform." , "Modulform" .
a schema:Person ;
schema:name "Pei, Dingyi." .
a schema:Topic ;
schema:name "Algebraic Geometry." .
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a schema:Topic ;
schema:name "SÃ©ries d'Eisenstein." .
a schema:Topic ;
schema:name "Eisenstein-Reihe." , "Eisenstein-Reihe" .
a schema:Person ;
schema:name "Wang, Xueli." , "Wang, Xueli," .
a schema:Topic ;
schema:name "Number Theory." .
a schema:Topic ;
schema:name "Functions of a Complex Variable." .
a schema:Topic ;
schema:name "Mathematics." .
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schema:name "Formes modulaires." .
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schema:name "MATHEMATICS / Number Theory" .