paper

The -adic Valuations of Möbius Duals of Lucas Sequences

arXiv:2512.03481

Abstract

In this paper, we extend the -adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences to irregular Lucas sequences. We conclude with a brief observation about the relationship of these valuations to the existence of Wall-Sun-Sun primes.

10 pages, 0 figures