{ "id": "math/0508125", "version": "v1", "published": "2005-08-06T23:57:56.000Z", "updated": "2005-08-06T23:57:56.000Z", "title": "Large Sieve Inequalities for Characters to Square Moduli", "authors": [ "Liangyi Zhao" ], "comment": "10 pages", "journal": "Acta Arith., Vol. 112, No. 3, 2004, pp. 297-308.", "categories": [ "math.NT" ], "abstract": "In this paper, we develop a large sieve type inequality with characters to square moduli. One expects that the result should be weaker than the classical inequality, but, conjecturally at least, not by much. The method is generalizable to higher power moduli.", "revisions": [ { "version": "v1", "updated": "2005-08-06T23:57:56.000Z" } ], "analyses": { "subjects": [ "11B57", "11L07", "11B57", "11L07", "11L40", "11N35" ], "keywords": [ "large sieve inequalities", "square moduli", "characters", "large sieve type inequality", "higher power moduli" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......8125Z" } } }