On a Congruence of Kimball and Webb Involving Lucas Sequences
Département de Mathématiques et Mécanique
Université de Caen
F-14032 Caen Cedex
Given a pair (Ut
) and (Vt
) of Lucas sequences,
an odd integer
and a prime
of maximal rank
i.e., such that
we show that
This extends a result of Kimball and Webb, who
proved the case
Some further generalizations are also established.
Full version: pdf,
Received July 22 2013;
revised versions received November 9 2013; November 28 2013.
Published in Journal of Integer Sequences, December 15 2013.
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