{ "id": "0801.2778", "version": "v5", "published": "2008-01-17T21:30:33.000Z", "updated": "2022-05-28T21:31:12.000Z", "title": "Computing L-series of hyperelliptic curves", "authors": [ "Kiran S. Kedlaya", "Andrew V. Sutherland" ], "comment": "15 pages, corrected minor typos", "journal": "Algorithmic Number Theory 8th International Symposium, ANTS-VIII, Springer LNCS 5011, 2008, pp. 312-326", "doi": "10.1007/978-3-540-79456-1_21", "categories": [ "math.NT", "math.AG" ], "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.", "revisions": [ { "version": "v4", "updated": "2012-09-03T22:09:10.000Z" }, { "version": "v5", "updated": "2022-05-28T21:31:12.000Z" } ], "analyses": { "subjects": [ "11M38", "14G10", "11G20", "11Y40" ], "keywords": [ "hyperelliptic curve", "computing l-series", "generic group algorithms", "p-adic methods" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }