{ "id": "math/0402386", "version": "v2", "published": "2004-02-24T08:36:48.000Z", "updated": "2004-12-16T08:41:17.000Z", "title": "Differential equations, mirror maps and zeta values", "authors": [ "Gert Almkvist", "Wadim Zudilin" ], "comment": "AmSTeX, 38 pages", "journal": "Mirror Symmetry V, N. Yui, S.-T. Yau, and J.D. Lewis (eds.), AMS/IP Studies in Adv. Math. 38 (2007), Intern. Press & Amer. Math. Soc., 481--515", "categories": [ "math.NT", "hep-th", "math-ph", "math.AG", "math.CA", "math.MP" ], "abstract": "The aim of this work is an analytic investigation of differential equations producing mirror maps as well as giving new examples of mirror maps; one of these examples is related to (rational approximations to) $\\zeta(4)$. We also indicate certain observations that might become a subject of further research.", "revisions": [ { "version": "v2", "updated": "2004-12-16T08:41:17.000Z" } ], "analyses": { "subjects": [ "14J32", "11M06", "11B83", "32S40", "33C20", "34M15", "34M25" ], "keywords": [ "zeta values", "differential equations producing mirror maps", "analytic investigation", "rational approximations" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Adv. Math." }, "note": { "typesetting": "AMS-TeX", "pages": 38, "language": "en", "license": "arXiv", "status": "editable", "inspire": 645148, "adsabs": "2004math......2386A" } } }