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Modular Forms: Basics and Beyond: Basics and Beyond (Springer Monographs in Mathematics) - Softcover
Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
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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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagSpringer
- Erscheinungsdatum2014
- ISBN 10 148999355X
- ISBN 13 9781489993557
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten188
- Kontakt zum HerstellerNicht verfügbar
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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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Springer New York, Springer US Jan 2014, 2014
ISBN 10: 148999355X
ISBN 13: 9781489993557
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Taschenbuch. 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. Artikel-Nr. 9781489993557
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Modular Forms: Basics and Beyond
Verlag:
Springer New York, Springer US, 2014
ISBN 10: 148999355X
ISBN 13: 9781489993557
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. 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. Artikel-Nr. 9781489993557
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