Affiliation:
1. Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Cracow, Łojasiewicza 6, 30-348 Cracow, Poland
Abstract
In this paper, we consider sequences defined by [Formula: see text], [Formula: see text], where [Formula: see text]. They are generalizations of the sequence of Schenker sums. We study such arithmetic properties of these sequences as: periodicity modulo [Formula: see text], where [Formula: see text], [Formula: see text]-adic valuations, asymptotics and prime divisors.
Funder
Department of Science and Technology, India
University Grants Commission
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory