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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.
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.
Contains advanced material but always reminds the reader of basic facts
Features the theory of modular forms of half-integral weight, and the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types
Discusses special values of various Dirichlet series associated to one or two modular forms
Includes supplementary material: [...]
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
178 S. |
| ISBN-13: | 9781489993557 |
| ISBN-10: | 148999355X |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Shimura, Goro |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Goro Shimura |
| Erscheinungsdatum: | 25.01.2014 |
| Gewicht: | 0,295 kg |
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
Contains advanced material but always reminds the reader of basic facts
Features the theory of modular forms of half-integral weight, and the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types
Discusses special values of various Dirichlet series associated to one or two modular forms
Includes supplementary material: [...]
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
178 S. |
| ISBN-13: | 9781489993557 |
| ISBN-10: | 148999355X |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Shimura, Goro |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Goro Shimura |
| Erscheinungsdatum: | 25.01.2014 |
| Gewicht: | 0,295 kg |
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