Bounds for frequencies of residues of second-order recurrences modulo $p^r$
Walter Carlip, Lawrence Somer · Mathematica Bohemica · 2007
The authors examine the frequency distribution of second-order recurrence sequences that are not $p$-regular, for an odd prime $p$, and apply their results to compute bounds for the frequencies of $p$-singular elements of $p$-regular second-order recurrences modulo powers of the prime $p$. The authors’ results have application to the $p$-stability of second-order recurrence sequences.