On Artin's conjecture for odd 2-dimensional representations /

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Bibliographic Details
Imprint:Berlin ; New York : Springer-Verlag, ©1994.
Description:1 online resource (vi, 148 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics ; 1585
Lecture notes in mathematics (Springer-Verlag) ; 1585.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11076251
Hidden Bibliographic Details
Other authors / contributors:Frey, Gerhard, 1944-
ISBN:9783540486817
354048681X
3540583874
9783540583875
0387583874
9780387583877
Notes:Includes bibliographical references.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
Summary:The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.
Other form:Print version:

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245 0 0 |a On Artin's conjecture for odd 2-dimensional representations /  |c G. Frey (ed.). 
260 |a Berlin ;  |a New York :  |b Springer-Verlag,  |c ©1994. 
300 |a 1 online resource (vi, 148 pages) :  |b illustrations. 
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490 1 |a Lecture notes in mathematics ;  |v 1585 
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520 |a The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms. 
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650 0 |a Artin's conjecture.  |0 http://id.loc.gov/authorities/subjects/sh94005769 
650 0 |a Forms, Modular.  |0 http://id.loc.gov/authorities/subjects/sh85050826 
650 0 |a Functions, Zeta.  |0 http://id.loc.gov/authorities/subjects/sh85052354 
650 4 |a Géométrie arithmétique. 
650 4 |a Rprésentation GALOIS. 
650 4 |a Conjecture ARIN. 
650 4 |a Forme modulaire. 
650 4 |a Opérateur HECKE. 
650 4 |a Table conducteur. 
650 6 |a Artin, Conjecture d' 
650 6 |a Formes modulaires. 
650 6 |a Fonctions zêta. 
650 7 |a Artin's conjecture.  |2 fast  |0 (OCoLC)fst00817515 
650 7 |a Forms, Modular.  |2 fast  |0 (OCoLC)fst00932983 
650 7 |a Functions, Zeta.  |2 fast  |0 (OCoLC)fst00936136 
650 1 7 |a Getaltheorie.  |2 gtt 
650 7 |a Fonctions zêta.  |2 ram 
650 7 |a Algèbres artiniennes.  |2 ram 
650 7 |a Galois, Théorie de.  |2 ram 
650 7 |a Formes modulaires.  |2 ram 
650 0 7 |a Artinsche Vermutung.  |2 swd 
650 0 7 |a Galois-Darstellung.  |2 swd 
655 4 |a Electronic books. 
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