{ "id": "1912.11857", "version": "v1", "published": "2019-12-26T13:05:47.000Z", "updated": "2019-12-26T13:05:47.000Z", "title": "On pairs of quadratic forms in five variables", "authors": [ "Kummari Mallesham" ], "comment": "14 pages, comments are welcome", "categories": [ "math.NT" ], "abstract": "In this article, we obtain an upper bound for the number of integral solutions, of given height, of system of two quadratic forms in five variables. Our bound is an improvement over the bound given by Henryk Iwaniec and Ritabrata Munshi in \\cite{H-R}.", "revisions": [ { "version": "v1", "updated": "2019-12-26T13:05:47.000Z" } ], "analyses": { "keywords": [ "quadratic forms", "henryk iwaniec", "upper bound", "integral solutions", "ritabrata munshi" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }