{ "id": "2010.07214", "version": "v1", "published": "2020-10-14T16:27:09.000Z", "updated": "2020-10-14T16:27:09.000Z", "title": "Rudnick and Soundarajan's Theorem over Prime Polynomials for the Rational Function Field", "authors": [ "J. MacMillan" ], "comment": "9 pages, Comments are welcome", "categories": [ "math.NT" ], "abstract": "In this paper, we use the methods of Andrade, Rudnick and Soundarajan to prove a Theorem about Lower bounds of moments of quadratic Dirichlet L-functions associated to monic irreducible polynomials over function fields.", "revisions": [ { "version": "v1", "updated": "2020-10-14T16:27:09.000Z" } ], "analyses": { "subjects": [ "11M38", "11G20", "11M06", "13F30", "11R58", "14G10" ], "keywords": [ "rational function field", "prime polynomials", "soundarajans theorem", "quadratic dirichlet l-functions", "lower bounds" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }