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## Details

Genre/Form: | Electronic books |
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Additional Physical Format: | Print version: Wang, Xueli, 1963- Modular forms with integral and half-integral weights. Beijing : Science Press ; Heidelberg ; London : Springer, ©2012 (OCoLC)809564569 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Xueli Wang; Dingyi Pei |

ISBN: | 9783642293023 3642293026 |

OCLC Number: | 828664034 |

Description: | 1 online resource (x, 432 pages) : illustrations |

Contents: | 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. |

Responsibility: | Xueli Wang, Dingyi Pei. |

### Abstract:

Taking the theory of Eisenstein series as its core theme, this volume focuses on the fundamental principles of modular forms of one variable. With analysis of half-integral as well as integral weights, it is the first unified treatment to cover both in such detail.
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## Reviews

*Editorial reviews*

Publisher Synopsis

From the reviews: "The reader will find a thorough introduction to many central themes in the theory of modular forms of integral and half-integral weight in one variable. ... This monograph is a very valuable addition to the literature on modular forms which will be useful for scholars and for graduate students in this very active branch of number theory." (Gunter Kohler, Zentralblatt MATH, Vol. 1263, 2013) Read more...

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