On the p-adic Valuations of Sums of Powers of Integers
Gombodorj Bayarmagnai and Sainjargal Delger
Department of Mathematics
National University of Mongolia
In this paper we obtain a simple formula for the number of matching
-ary digits of certain terms of Lucas sequences for any odd prime
. Using this formula, we present a simple sufficient condition for the sequence
to be unbounded, where
) are given integers and
Full version: pdf,
Received July 11 2022; revised versions received August 5 2022; August 31 2022; September 13 2022.
Published in Journal of Integer Sequences,
October 7 2022.
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