<E-Book>
Modular Forms with Integral and Half-Integral Weights / by Xueli Wang, Dingyi Pei
Edition | 1st ed. 2012. |
---|---|
Publisher | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
Year | 2012 |
Size | X, 432 p. 2 illus : online resource |
Authors | *Wang, Xueli author Pei, Dingyi author SpringerLink (Online service) |
Subjects | LCSH:Number theory LCSH:Algebraic geometry LCSH:Functions of complex variables FREE:Number Theory FREE:Algebraic Geometry FREE:Functions of a Complex Variable |
Notes | Theta Functions and Their Transformation Formulae -- Eisenstein Series -- The Modular Group and Its Subgroups -- Modular Forms with Integral Weight or Half-integral Weight -- Operators on the Space of Modular Forms -- New Forms and Old Forms.-Construction of Eisenstein Series -- Weil Representation and Shimura Lifting -- Trace Formula -- Integers Represented by Positive Definite Quadratic Forms "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 HTTP:URL=https://doi.org/10.1007/978-3-642-29302-3 |
TOC
Hide book details.
E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
---|---|---|---|---|---|---|---|---|---|---|---|---|
E-Book | オンライン | 電子ブック |
|
Springer eBooks | 9783642293023 |
|
電子リソース |
|
EB00207099 |
Hide details.
Material Type | E-Book |
---|---|
Classification | LCC:QA241-247.5 DC23:512.7 |
ID | 4000116563 |
ISBN | 9783642293023 |
Similar Items
Usage statistics of this contents
Number of accesses to this page:4times
※After Sep 4, 2017