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Solutions of the congruence
Authors:José María Grau  Pieter Moree  Antonio M Oller‐Marcén
Institution:1. +34 985 182 094+34 985 103 354;2. Departamento de Matematicas, Universidad de Oviedo, Oviedo, Spain;3. +49 228 402 232+49 228 402 277;4. Max‐Planck‐Institut für Mathematik, Germany;5. Centro Universitario de la Defensa de Zaragoza, Zaragoza, Spain
Abstract:In this paper we characterize, in terms of the prime divisors of n, the pairs urn:x-wiley:0025584X:media:mana201500057:mana201500057-math-0003 for which n divides urn:x-wiley:0025584X:media:mana201500057:mana201500057-math-0004. As an application, we derive some results on the sets urn:x-wiley:0025584X:media:mana201500057:mana201500057-math-0005 for some choices of f.
Keywords:Power sums  congruence  divisibility  asymptotic density  Giuga numbers  11A07  11A99  11B99
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