Cubic Metaplectic Forms and Theta Functions
The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Ei...
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|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1677 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Cubic metaplectic forms and theta functions, Nikolai Proskurin, Berlin, Springer, 1998, 1 vol. (VII-196 p.), Lecture notes in mathematics, 3-540-63751-6 • Cubic Metaplectic Forms and Theta Functions, Texte imprimé, 9783662214411 |
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| 009 | PPN15522977X | ||
| 020 | |a 9783540696414 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 512.73 | ||
| 100 | 1 | |a Proskurin, Nikolai Vitalievich, |d 1953- | |
| 245 | 1 | 0 | |a Cubic Metaplectic Forms and Theta Functions |c Nikolai Proskurin. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1677 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Kubota and Bass-Milnor-Serre homomorphisms -- Cubic metaplectic forms and Kubota-Patterson cubic theta function -- On Dirichlet series associated with cubic Gauss sums -- Group SL(3,C) -- Discrete subgroups -- Cubic metaplectic forms on SL(3,C)/SU(3) -- Eisenstein series Fourier coefficients -- Eisenstein series E (w,s; Theta) and cubic theta function -- Group Sp(4,C) -- Discrete subgroups -- Cubic metaplectic forms on Sp(4,C)/Sp(4) -- Eisenstein series Fourier coefficients -- Eisenstein series E(w,s;Theta) and cubic theta functions -- 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 The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications. | ||
| 650 | |a Formes automorphes | ||
| 650 | |a Groupes discontinus | ||
| 650 | |a Fonctions thêta | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 776 | 0 | |0 045651051 |t Cubic metaplectic forms and theta functions |f Nikolai Proskurin |c Berlin |n Springer |d 1998 |p 1 vol. (VII-196 p.) |s Lecture notes in mathematics |z 3-540-63751-6 | |
| 776 | 0 | |t Cubic Metaplectic Forms and Theta Functions |b Texte imprimé |z 9783662214411 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093533 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-CSTNCZC0-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750633093 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093533 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753989506 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093533 |z Accès INSA CVL | |
| 997 | |0 972774 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||