Congruences involving sums of ratios of Lucas sequences
Date
2014ISSN
1530-7638Source
Journal of Integer SequencesVolume
17Issue
8Google Scholar check
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Given a pair (Ut) and (Vt) of Lucas sequences, we establish various congruences involving sums of ratios Vt/Ut. More precisely, let p be a prime divisor of the positive integer m. We establish congruences, modulo powers of p, for the sum ∑Vt/Ut, where t runs from 1 to r(m), the rank of m, and r(q) ∤ t for all prime factors q of m. © 2014, University of Waterloo. All rights reserved.