Modular forms : basics and beyond
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 rea...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2012. |
| Col·lecció: | Springer Monographs in Mathematics
|
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 24 février 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Modular forms, basics and beyond, Goro Shimura, New York, Springer, 2012, 1 vol. (X-175 p.), Springer monographs in mathematics, 978-1-4614-2124-5 |
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| 100 | 1 | |a Shimura, Gorō, |d 1930-2019. | |
| 245 | 1 | 0 | |a Modular forms : |b basics and beyond |c Goro Shimura. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 24 février 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 171-173. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Séries de Dirichlet | ||
| 650 | |a Séries d'Eisenstein | ||
| 776 | 0 | |0 157607089 |t Modular forms |o basics and beyond |f Goro Shimura |c New York |n Springer |d 2012 |p 1 vol. (X-175 p.) |s Springer monographs in mathematics |z 978-1-4614-2124-5 | |
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