BibTeX
@MISC{Ieronymou_congruencesinvolving,
author = {Evis Ieronymou},
title = {Congruences Involving Sums of Ratios of Lucas Sequences},
year = {}
}
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Abstract
Given a pair (Ut) and (Vt) of Lucas sequences, we establish various congruences involving sums of ratios Vt. More precisely, let p be a prime divisor of the positive Ut integer m. We establish congruences, modulo powers of p, for the sum ∑ Vt, where t Ut runs from 1 to r(m), the rank of m, and r(q) ∤ t for all prime factors q of m.
