{ "id": "1407.1813", "version": "v2", "published": "2014-07-07T19:22:17.000Z", "updated": "2014-07-10T22:44:56.000Z", "title": "Zeta functions, Grothendieck groups, and the Witt ring", "authors": [ "Niranjan Ramachandran" ], "comment": "23 pages, submitted for publication. Added reference to Niko Naumann's work. Comments welcome", "categories": [ "math.NT", "math.AG", "math.KT" ], "abstract": "We prove some results connecting the zeta functions of varieties over finite fields with the big Witt ring over $\\mathbb Z$. We explore relations with motivic measures and a classical formula of Macdonald on invariants of symmetric products of a variety.", "revisions": [ { "version": "v2", "updated": "2014-07-10T22:44:56.000Z" } ], "analyses": { "subjects": [ "11Mxx", "14G15" ], "keywords": [ "zeta functions", "grothendieck groups", "symmetric products", "motivic measures", "finite fields" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.1813R" } } }