Computing $L$-functions with large conductor
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Abstract:
An algorithm is given to efficiently compute $L$-functions with large conductor in a restricted range of the critical strip. Examples are included for about 24000 dihedral Galois representations with conductor near $10^7$. The data shows good agreement with a symplectic random matrix model.References
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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
- Received by editor(s): June 5, 2003
- Received by editor(s) in revised form: May 6, 2006
- Published electronically: April 19, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 76 (2007), 2051-2062
- MSC (2000): Primary 11Y16, 11Y35
- DOI: https://doi.org/10.1090/S0025-5718-07-01994-1
- MathSciNet review: 2336281