{ "id": "1308.6451", "version": "v1", "published": "2013-08-29T12:34:24.000Z", "updated": "2013-08-29T12:34:24.000Z", "title": "The Digamma function, Euler-Lehmer constants and their $p$-adic counterparts", "authors": [ "Tapas Chatterjee", "Sanoli Gun" ], "comment": "13 pages", "categories": [ "math.NT" ], "abstract": "The goal of this article is twofold. We first extend a result of Murty and Saradha \\cite{MS} related to the digamma function at rational arguments. Further, we extend another result of the same authors \\cite{MS1} about the nature of $p$-adic Euler-Lehmer constants.", "revisions": [ { "version": "v1", "updated": "2013-08-29T12:34:24.000Z" } ], "analyses": { "keywords": [ "digamma function", "adic counterparts", "adic euler-lehmer constants", "first extend", "rational arguments" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1308.6451C" } } }