Cargando…
Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields
The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi form...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Lecture Notes in Mathematics,
2130 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-12916-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220114125454.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 141205s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319129167 |9 978-3-319-12916-7 | ||
| 024 | 7 | |a 10.1007/978-3-319-12916-7 |2 doi | |
| 050 | 4 | |a QA241-247.5 | |
| 072 | 7 | |a PBH |2 bicssc | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 072 | 7 | |a PBH |2 thema | |
| 082 | 0 | 4 | |a 512.7 |2 23 |
| 100 | 1 | |a Boylan, Hatice. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields |h [electronic resource] / |c by Hatice Boylan. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XIX, 130 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2130 | |
| 505 | 0 | |a Introduction -- Notations -- Finite Quadratic Modules -- Weil Representations of Finite Quadratic Modules -- Jacobi Forms over Totally Real Number Fields -- Singular Jacobi Forms -- Tables -- Glossary. | |
| 520 | |a The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi forms over the rational numbers, which is an indispensable tool in the arithmetic theory of elliptic modular forms, elliptic curves, and in many other disciplines in mathematics and physics. Jacobi forms can be viewed as vector valued modular forms which take values in so-called Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations over number fields. This part might also be interesting for those who are merely interested in the representation theory of Hilbert modular groups. One of the main applications is the complete classification of Jacobi forms of singular weight over an arbitrary totally real number field. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 1 | 4 | |a Number Theory. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319129174 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319129150 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2130 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-12916-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||