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Brandt matrices and theta series over global function fields /
The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field k together with a fixed place [infinity symbol], we construct a family of theta series from the norm forms...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1117. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field k together with a fixed place [infinity symbol], we construct a family of theta series from the norm forms of "definite" quaternion algebras, and establish an explicit Hecke-module homomorphism from the Picard group of an associated definite Shimura curve to a space of Drinfeld type automorphic forms. The "compatibility" of these homomorphisms with different square-free levels is also examined. These Hecke-equivariant maps lead to a nice description of the subspace generated by our theta series, and thereby contributes to the so-called basis problem. Restricting the norm forms to pure quaternions, we obtain another family of theta series which are automorphic functions on the metaplectic group, and results in a Shintani-type correspondence between Drinfeld type forms and metaplectic forms |
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| Notas: | "Volume 237, number 1117 (first of 6 numbers), September 2015." |
| Descripción Física: | 1 online resource (v, 64 pages) |
| Bibliografía: | Includes bibliographical references (page 61). |
| ISBN: | 9781470425012 1470425017 |
| ISSN: | 0065-9266 ; |