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Inhaltsangabe
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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Über die Autorin bzw. den Autor
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
Von der hinteren Coverseite
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. Ultimately, we concentrate on the following two themes:
(I) The correspondence between the forms of half-integral weight and those of integral weight.
(II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight.
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
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- VerlagSpringer
- Erscheinungsdatum2011
- ISBN 10 1461421241
- ISBN 13 9781461421245
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten188
- Kontakt zum HerstellerNicht verfügbar
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Modular Forms: Basics and Beyond
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains advanced material but always reminds the reader of basic factsFeatures the theory of modular forms of half-integral weight, and the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic typesDiscusse. Bestandsnummer des Verkäufers 4197343
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Modular Forms: Basics and Beyond (Springer Monographs in Mathematics)
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Modular Forms: Basics and Beyond
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Ultimately, we concentrate on the following two themes: (I) The correspondence between the forms of half-integral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight. 188 pp. Englisch. Bestandsnummer des Verkäufers 9781461421245
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Modular Forms: Basics and Beyond
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Springer New York, Springer New York Nov 2011, 2011
ISBN 10: 1461421241
ISBN 13: 9781461421245
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Buch. Zustand: Neu. Neuware -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 thebasics. 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. Ultimately, we concentrate on the following two themes:(I) The correspondence between the forms of half-integral weight and those of integral weight.(II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 188 pp. Englisch. Bestandsnummer des Verkäufers 9781461421245
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Modular Forms: Basics and Beyond
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Springer New York, Springer US, 2011
ISBN 10: 1461421241
ISBN 13: 9781461421245
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Ultimately, we concentrate on the following two themes: (I) The correspondence between the forms of half-integral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight. Bestandsnummer des Verkäufers 9781461421245
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