an:05538196
Zbl 1174.11014
Carlip, Walter; Somer, Lawrence
Bounds for frequencies of residues of second-order recurrences modulo \(p^r\)
EN
Math. Bohem. 132, No. 2, 137-175 (2007).
00248099
2007
j
11B37 11A25 11A51 11B39
uniform distribution; recurrence
Summary: 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.