Generalizations of Thomae's formula for Zn curves
This book provides a comprehensive overview of the theory of theta functions, as applied to compact Riemann surfaces, as well as the necessary background for understanding and proving the Thomae formulae. The exposition examines the properties of a particular class of compact Riemann surfaces, i.e.,...
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| Hlavní autoři: | , |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2011. |
| Edice: | Developments in Mathematics
21 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 10 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Generalizations of Thomae's Formula for Zn Curves, Hershel M. Farkas, Shaul Zemel, New York, Springer, 2011, 1 vol. (XVII-354 p.), Developments in Mathematics, 978-1-441-97846-2 |
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| 020 | |a 9781441978479 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 084 | |a 20F10. 2010 | ||
| 084 | |a 14H42. 2010 | ||
| 100 | 1 | |a Farkas, Hershel M., |d 1939-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Generalizations of Thomae's formula for Zn curves |c Hershel M. Farkas, Shaul Zemel. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Developments in Mathematics |v 21 |x 2197-795X | |
| 500 | |a Description d'après consultation du 10 mai 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p.345 Index p. 349-350 | ||
| 505 | 1 | |a - Introduction.- 1. Riemann Surfaces 2. Zn Curves 3. Examples of Thomae Formulae 4. Thomae Formulae for Nonsingular Zn Curves 5. Thomae Formulae for Singular Zn Curves.-6. Some More Singular Zn Curves.-Appendix A. Constructions and Generalizations for the Nonsingular and Singular Cases.-Appendix B. The Construction and Basepoint Change Formulae for the Symmetric Equation Case.-References.-List of Symbols.-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 book provides a comprehensive overview of the theory of theta functions, as applied to compact Riemann surfaces, as well as the necessary background for understanding and proving the Thomae formulae. The exposition examines the properties of a particular class of compact Riemann surfaces, i.e., the Zn curves, and thereafter focuses on how to prove the Thomae formulae, which give a relation between the algebraic parameters of the Zn curve, and the theta constants associated with the Zn curve. Graduate students in mathematics will benefit from the classical material, connecting Riemann surfaces, algebraic curves, and theta functions, while young researchers, whose interests are related to complex analysis, algebraic geometry, and number theory, will find new rich areas to explore. Mathematical physicists and physicists with interests also in conformal field theory will surely appreciate the beauty of this subject | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Fonctions spéciales | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 700 | 1 | |a Zemel, Shaul. |4 aut | |
| 776 | 0 | |0 160168759 |t Generalizations of Thomae's Formula for Zn Curves |f Hershel M. Farkas, Shaul Zemel |c New York |n Springer |d 2011 |p 1 vol. (XVII-354 p.) |s Developments in Mathematics |z 978-1-441-97846-2 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-ZFGR57J6-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750624698 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4419-7847-9 |z Accès Université d'Orléans | |
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