Computing L-series of hyperelliptic curves

Authors:
Kiran S. Kedlaya;Andrew V. Sutherland
Affiliations:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA;Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA
Venue:
ANTS-VIII'08 Proceedings of the 8th international conference on Algorithmic number theory
Year:
2008

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Abstract

We discuss the computation of coefficients of the L-seriesassociated to a hyperelliptic curve over Q of genus at most 3, using pointcounting, generic group algorithms, and p-adic methods.