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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." .
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"Electronic books"@en .
"Electronic books" .
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"Modular forms with integral and half-integral weights"@en .
"Modular forms with integral and half-integral weights" .
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"Modular Forms with Integral and Half-Integral Weights" .
"Modular Forms with Integral and Half-Integral Weights"@en .
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"Geometry, Algebraic." .
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"Modulform." .
"Modulform" .
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"Forms, Modular." .
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"Pei, Dingyi." .
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"Algebraic Geometry." .
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"Eisenstein-Reihe." .
"Eisenstein-Reihe" .
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"SÃ©ries d'Eisenstein." .
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"Functions of complex variables." .
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"Wang, Xueli." .
"Number Theory." .
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"Number theory." .
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"Functions of a Complex Variable." .
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"Mathematics." .
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"Formes modulaires." .
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"Eisenstein series." .
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"MATHEMATICS / Number Theory" .