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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.
In this article we study, using elementary and combinatorial methods, the distribution of quadratic non-residues which are not primitive roots modulo or for an odd prime and an integer.
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