Computing L-series of hyperelliptic curves

Mathematics – Number Theory

Scientific paper

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15 pages, v3 corrected a typo and added a reference, in Proceedings of ANTS VIII (Algorithmic Number Theory Symposium, 2008)

Scientific paper

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

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