Modular Forms with Integral and Half-Integral Weights Hardback
by Xueli Wang, Dingyi Pei
Hardback
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.
Information
-
Item not Available
- Format:Hardback
- Pages:432 pages, 2 Illustrations, black and white; X, 432 p. 2 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:07/09/2012
- Category:
- ISBN:9783642293016
Other Formats
- PDF from £72.68
Information
-
Item not Available
- Format:Hardback
- Pages:432 pages, 2 Illustrations, black and white; X, 432 p. 2 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:07/09/2012
- Category:
- ISBN:9783642293016
