Detailansicht
Modular Forms with Integral and Half-Integral Weights
eBook
ISBN/EAN: 9783642293023
Umbreit-Nr.: 3726877
Sprache:
Englisch
Umfang: 432 S., 2.93 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 20.02.2013
Auflage: 1/2013
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- <p>"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.</p><p>Dr. Xueli Wang is a Professor at South China Normal University, China. Dingyi Pei is a Professor at Guangzhou University, China.</p>
- Kurztext
- <p>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.</p>