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20241006213017.0 |
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150424t20152015riu ob 000 0 eng d |
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|a COO
|b eng
|e rda
|e pn
|c COO
|d OCLCO
|d UIU
|d OCLCF
|d GZM
|d YDX
|d EBLCP
|d OCLCA
|d OCLCQ
|d LEAUB
|d OCLCQ
|d UKAHL
|d K6U
|d OCLCO
|d OCLCQ
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|d OCLCL
|d SXB
|d OCLCQ
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|a 958352589
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|a 9781470425012
|q (online)
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|a 1470425017
|q (online)
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|z 9781470414191
|q (alk. paper)
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|z 1470414198
|q (alk. paper)
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| 035 |
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|a (OCoLC)917874773
|z (OCoLC)958352589
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| 050 |
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4 |
|a QA196
|b .C48 2015
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| 049 |
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|a HCDD
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| 100 |
1 |
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|a Chuang, Chih-Yun,
|d 1984-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjJx9H7xJV7kyrtYHPbTpP
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| 245 |
1 |
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|a Brandt matrices and theta series over global function fields /
|c Chih-Yun Chuang, Ting-Fang Lee, Fu-Tsun Wei, Jing Yu.
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| 264 |
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1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c 2015.
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| 264 |
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4 |
|c ©2015
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| 300 |
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|a 1 online resource (v, 64 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v volume 237, number 1117
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| 588 |
0 |
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|a Online resource; title from PDF title page (viewed October 6, 2015).
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| 504 |
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|a Includes bibliographical references (page 61).
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| 500 |
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|a "Volume 237, number 1117 (first of 6 numbers), September 2015."
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|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
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| 505 |
0 |
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|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.
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| 650 |
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|a Matrices.
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| 650 |
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0 |
|a Quaternions.
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| 650 |
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|a Hecke algebras.
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| 650 |
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|a Series, Theta.
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| 650 |
|
7 |
|a Hecke algebras
|2 fast
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| 650 |
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7 |
|a Matrices
|2 fast
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| 650 |
|
7 |
|a Quaternions
|2 fast
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| 650 |
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7 |
|a Series, Theta
|2 fast
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| 700 |
1 |
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|a Lee, Ting-Fang,
|d 1981-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjFP8DhJPmpjwRYvKXhpdP
|
| 700 |
1 |
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|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 |
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|a American Mathematical Society,
|e publisher.
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| 758 |
|
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|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.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=4832024
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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