Articoli correlati a Elementary Dirichlet Series and Modular Forms
Sinossi
This book treats its two subjects, Dirichlet series and modular forms, in both orthodox and unorthodox ways. Regardless of the unorthodox treatment, the author has made the book accessible to those who are not familiar with such topics.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Dalla quarta di copertina
The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old method. After a review of elementary Fourier analysis, the author presents completely new results with new methods, though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications, new formulas for the second factor of the class number of a cyclotomic field will be given.
The second half of the book assumes familiarity with basic knowledge of modular forms. However, all definitions and facts are clearly stated, and precise references are given. The notion of nearly holomorphic modular forms is introduced and applied to the determination of the critical values of Hecke L-functions of an imaginary quadratic field. Other notable features of the book are: (1) some new results on classical Eisenstein series; (2) the discussion of isomorphism classes of elliptic curves with complex multiplication in connection with their zeta function and periods; (3) a new class of holomorphic differential operators that send modular forms to those of a different weight.
The book will be of interest to graduate students and researchers who are interested in special values of L-functions, class number formulae, arithmetic properties of modular forms (especially their values), and the arithmetic properties of Dirichlet series. It treats in detail, from an elementary viewpoint, the simplest cases of a fundamental area of ongoing research, the only prerequisite being a basic course in algebraic number theory.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer
- Data di pubblicazione2010
- ISBN 10 1441924787
- ISBN 13 9781441924780
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine156
- Contatto del produttorenon disponibile
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Edizione Internazionale
Elementary Dirichlet Series and Modular Forms, Hardcover edition
Edizione InternazionaleDa: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
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Hardcover. Condizione: New. Condizione sovraccoperta: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice articolo ABE-7912123983
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Elementary Dirichlet Series and Modular Forms, Hardcover
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Trade paperback. Condizione: New in new dust jacket. First edition. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). Glued binding. 152 p. Springer Monographs in Mathematics. Audience: General/trade. Codice articolo K632H0000042
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Elementary Dirichlet Series and Modular Forms
Print on DemandDa: moluna, Greven, Germania
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Author writes in a clear and engaging styleContains never before published elementary proofsAuthor provides new results and detailed expositionSelf-contained, and suitable for use in a classroom setting or for self-studyA high. Codice articolo 4172990
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Elementary Dirichlet Series and Modular Forms
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Springer New York Nov 2010, 2010
ISBN 10: 1441924787
ISBN 13: 9781441924780
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are presented along with known old results in a clear exposition. It is with this philosophy that the author writes this volume. The two subjects, Dirichlet series and modular forms, are traditional subjects, but here they are treated in both orthodox and unorthodox ways. Regardless of the unorthodox treatment, the author has made the book accessible to those who are not familiar with such topics by including plenty of expository material. 156 pp. Englisch. Codice articolo 9781441924780
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Elementary Dirichlet Series and Modular Forms (Paperback or Softback)
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ISBN 10: 1441924787
ISBN 13: 9781441924780
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Paperback or Softback. Condizione: New. Elementary Dirichlet Series and Modular Forms 0.5. Book. Codice articolo BBS-9781441924780
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Elementary Dirichlet Series and Modular Forms
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Springer New York, Springer US Nov 2010, 2010
ISBN 10: 1441924787
ISBN 13: 9781441924780
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives. Also, the author may be encouraged to include new results, provided that they help the reader gain newinsightsandarepresentedalongwithknownoldresultsinaclearexposi tion. Itis with this philosophy that Iwrite this volume. The two subjects, Dirichlet series and modular forms, are traditional, but I treat them in both orthodox and unorthodox ways. However, I try to make the book accessible to those who are not familiar with such topics, by including plenty of expository material. More speci c descriptions of the contents will be given in the Introduction. To some extent, this book has a supplementary nature to my previous book Introduction to the Arithmetic Theory of Automorphic Functions, published by Princeton University Press in 1971, though I do not write the present book with that intent. While the 1971 book grew out of my lectures in various places, the essential points of this new book have never been presented publicly or privately. I hope that it will draw an audience as large as that of the previous book.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch. Codice articolo 9781441924780
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Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)
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Elementary Dirichlet Series and Modular Forms
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ISBN 10: 1441924787
ISBN 13: 9781441924780
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives. Also, the author may be encouraged to include new results, provided that they help the reader gain newinsightsandarepresentedalongwithknownoldresultsinaclearexposition. Itis with this philosophy that Iwrite this volume. The two subjects, Dirichlet series and modular forms, are traditional, but I treat them in both orthodox and unorthodox ways. However, I try to make the book accessible to those who are not familiar with such topics, by including plenty of expository material. More speci c descriptions of the contents will be given in the Introduction. To some extent, this book has a supplementary nature to my previous book Introduction to the Arithmetic Theory of Automorphic Functions, published by Princeton University Press in 1971, though I do not write the present book with that intent. While the 1971 book grew out of my lectures in various places, the essential points of this new book have never been presented publicly or privately. I hope that it will draw an audience as large as that of the previous book. Codice articolo 9781441924780
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Elementary Dirichlet Series and Modular Forms
Editore:
Springer-Verlag New York Inc., 2010
ISBN 10: 1441924787
ISBN 13: 9781441924780
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 259. Codice articolo C9781441924780
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