Results 1 -
1 of
1
Congruences Involving Sums of Ratios of Lucas Sequences
"... 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) ..."
Abstract
- Add to MetaCart
(Show Context)
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.
