The digamma function, Euler–Lehmer constants and their $p$-adic counterparts
Volume 162 / 2014
Acta Arithmetica 162 (2014), 197-208
MSC: Primary 11J91, 11J86; Secondary 11J99.
DOI: 10.4064/aa162-2-4
Abstract
The goal of this article is twofold. First, we extend a result of Murty and Saradha (2007) related to the digamma function at rational arguments. Further, we extend another result of the same authors (2008) about the nature of $p$-adic Euler–Lehmer constants.