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"Eisenstein series"@en .
"Springer eBooks (Mathematics and Statistics 2012)" .
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"Wang" .
"Xueli" .
"Xueli Wang" .
"1963" .
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"2017-07-09" .
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"Forms, Modular"@en .
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"Electronic books"@en .
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"2012" .
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"828664034" .
"828664034" .
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"en" .
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"\"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."@en .
"Modular forms with integral and half-integral weights"@en .
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"Pei" .
"Dingyi" .
"Dingyi Pei" .
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"cc" .
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"9783642293023" .
"3642293026" .
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"Mathematics"@en .
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"MATHEMATICS--Number Theory"@en .
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"Modular forms with integral and half-integral weights." .
"Print version:" .