TY - ELEC
DB - /z-wcorg/
DP - http://worldcat.org
ID - 828664034
LA - English
UR - http://dx.doi.org/10.1007/978-3-642-29302-3
T1 - Modular forms with integral and half-integral weights
A1 - Wang, Xueli,, Pei, Dingyi.,
PB - Science Press ; Springer
CY - Beijing; Heidelberg; London
Y1 - 2012///
SN - 9783642293023 3642293026
AB - "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.
ER -