{ "id": "1509.03421", "version": "v1", "published": "2015-09-11T08:49:57.000Z", "updated": "2015-09-11T08:49:57.000Z", "title": "Erdős and Arithmetic Progressions", "authors": [ "W. T. Gowers" ], "comment": "21 pages, in Erdos and arithmetic progressions, in Erdos Centennial, Bolyai Society Mathematical Studies, 25, L. Lovasz, I. Z. Ruzsa, V. T. Sos eds., Springer 2013, pp. 265-287", "categories": [ "math.CO" ], "abstract": "This is a short survey article written for the Erd\\H{o}s centennial conference in Budapest in 2013. The main two topics covered are Szemer\\'edi's theorem and its ramifications, and the Erd\\H{o}s discrepancy problem. There is an emphasis on what we do not yet know, so much of the article is somewhat speculative.", "revisions": [ { "version": "v1", "updated": "2015-09-11T08:49:57.000Z" } ], "analyses": { "subjects": [ "05-02", "05D99" ], "keywords": [ "arithmetic progressions", "short survey article written", "centennial conference", "szemeredis theorem", "discrepancy problem" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150903421G" } } }