English

Computing L-series of hyperelliptic curves

Number Theory 2022-05-31 v5 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.0801.2778,
  title  = {Computing L-series of hyperelliptic curves},
  author = {Kiran S. Kedlaya and Andrew V. Sutherland},
  journal= {arXiv preprint arXiv:0801.2778},
  year   = {2022}
}

Comments

15 pages, corrected minor typos

R2 v1 2026-06-21T10:04:03.296Z