Computing $L$-functions with large conductor

Jeffrey Stopple

Type: Article

Publication Date: 2007-07-26

Citations: 4

DOI: https://doi.org/10.1090/s0025-5718-07-01994-1

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.

Locations

Mathematics of Computation - View - PDF
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Fast algorithms for multiple evaluations of the Riemann zeta function	1988	Andrew Odlyzko Arnold Schönhage
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+ PDF Chat	Zeroes of zeta functions and symmetry	1999	Nicholas Katz Peter Sarnak
+ PDF Chat	On small zeros of Dirichlet 𝐿-functions	1975	P. Weinberger