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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 |
|---|---|
| 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 |
MARC
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| 003 | OCoLC | ||
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| 019 | |a 958352589 | ||
| 020 | |a 9781470425012 |q (online) | ||
| 020 | |a 1470425017 |q (online) | ||
| 020 | |z 9781470414191 |q (alk. paper) | ||
| 020 | |z 1470414198 |q (alk. paper) | ||
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| 050 | 4 | |a QA196 |b .C48 2015 | |
| 082 | 0 | 4 | |a 512.7 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Chuang, Chih-Yun, |d 1984- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjJx9H7xJV7kyrtYHPbTpP | |
| 245 | 1 | 0 | |a Brandt matrices and theta series over global function fields / |c Chih-Yun Chuang, Ting-Fang Lee, Fu-Tsun Wei, Jing Yu. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (v, 64 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 237, number 1117 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed October 6, 2015). | |
| 504 | |a Includes bibliographical references (page 61). | ||
| 500 | |a "Volume 237, number 1117 (first of 6 numbers), September 2015." | ||
| 520 | |a 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 | ||
| 505 | 0 | |a Introduction -- Brandt matrices and definite Shimura curves -- The basis problem for Drinfeld type automorphic forms -- Metaplectic forms and Shintani-type correspondence -- Trace formula of Brandt matrices -- Bibliography -- Symbols. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Matrices. | |
| 650 | 0 | |a Quaternions. | |
| 650 | 0 | |a Hecke algebras. | |
| 650 | 0 | |a Series, Theta. | |
| 650 | 6 | |a Matrices. | |
| 650 | 6 | |a Quaternions. | |
| 650 | 6 | |a Algèbres de Hecke. | |
| 650 | 6 | |a Séries thêta. | |
| 650 | 7 | |a Hecke algebras |2 fast | |
| 650 | 7 | |a Matrices |2 fast | |
| 650 | 7 | |a Quaternions |2 fast | |
| 650 | 7 | |a Series, Theta |2 fast | |
| 700 | 1 | |a Lee, Ting-Fang, |d 1981- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFP8DhJPmpjwRYvKXhpdP | |
| 700 | 1 | |a Wei, Fu-Tsun, |d 1981- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjBywYbWvgdfhG3B8GGx9P | |
| 700 | 1 | |a Yu, Jing, |d 1949- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjHPD7rJxFFyQ8VkJBPQmd | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Brandt matrices and theta series over global function fields (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG8yCXCKXKQKhMcdtJtwJC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Chuang, Chih-Yun, 1984- |t Brandt matrices and theta series over global function fields. |d Providence, Rhode Island : American Mathematical Society, 2015 |z 9781470414191 |z 1470414198 |w (DLC) 2015016268 |w (OCoLC)908311213 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1117. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4832024 |z Texto completo |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4832024 | ||
| 938 | |a YBP Library Services |b YANK |n 13155130 | ||
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