Modular Forms: Basics and Beyond

Paperback Engels 2014 2012e druk 9781489993557
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Samenvatting

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.

Specificaties

ISBN13:9781489993557
Taal:Engels
Bindwijze:paperback
Aantal pagina's:178
Uitgever:Springer New York
Druk:2012

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Inhoudsopgave

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.

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        Modular Forms: Basics and Beyond