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Computing  -functions with large conductor
Author(s):
Jeffrey
Stopple.
Journal:
Math. Comp.
76
(2007),
2051-2062.
MSC (2000):
Primary 11Y16, 11Y35
Posted:
April 19, 2007
MathSciNet review:
2336281
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Additional information
Abstract:
An algorithm is given to efficiently compute  -functions with large conductor in a restricted range of the critical strip. Examples are included for about 24000 dihedral Galois representations with conductor near  . The data shows good agreement with a symplectic random matrix model.
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Additional Information:
Jeffrey
Stopple
Affiliation:
Department of Mathematics, University of California Santa Barbara, Santa Barbara, California 93106-0001
Email:
stopple@math.ucsb.edu
DOI:
10.1090/S0025-5718-07-01994-1
PII:
S 0025-5718(07)01994-1
Received by editor(s):
June 5, 2003
Received by editor(s) in revised form:
May 6, 2006
Posted:
April 19, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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