Modular forms : basics and beyond
Author(s)
Bibliographic Information
Modular forms : basics and beyond
(Springer monographs in mathematics)
Springer, c2012
Available at / 47 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Bibliography: p. 171-173
Includes index
Description and Table of Contents
Description
This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable.
One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically.
Table of Contents
Preface.- Notation and Terminology.- Chapter I. Preliminaries.- Chapter II. Theta Functions and Factors of Automorphy.- Chapter III. The Rationality and Eisenstein Series.- Chapter IV. The Correspondence between Forms of Integral and Half-integral Weight.- Chapter V. The Arithmeticity of Critical Values of Dirichlet Series.- Appendix.- References.- Index.
by "Nielsen BookData"