. . . . . . . . . . . . . "\"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." . . . . . . . . . . "Electronic books" . "Electronic books"@en . . . . . . . "Modular forms with integral and half-integral weights" . "Modular forms with integral and half-integral weights"@en . . . . . . . . . . . . "Modular forms with integral and half-integral weights = 整权与半整权模形{OCLCbr#E5}{OCLCbr#BC}?" . "<>"@en . . . . . "Modular Forms with Integral and Half-Integral Weights"@en . "Modular Forms with Integral and Half-Integral Weights" . . "Geometry, Algebraic." . . "Modulform." . . "Modulform" . "Forms, Modular." . . "Algebraic Geometry." . . . . "Eisenstein-Reihe." . . "Eisenstein-Reihe" . "Séries d'Eisenstein." . . "Functions of complex variables." . . "Number theory." . . "Number Theory." . "Functions of a Complex Variable." . . "Mathematics." . . "Formes modulaires." . . "Eisenstein series." . . "MATHEMATICS / Number Theory" . .