Power multiples in binary recurrence sequences: an approach by congruences

Details Power multiples in binary recurrence sequences: an approach by congruences Power multiples in binary recurrence sequences: an approach by congruences

2010-09-26

arxiv.org/abs/1009.5092v1

Mathematics

Number Theory

This is a full version (12 tables of computational data) of the paper submitted to the Rendiconti del Seminario Matematico of

Scientific paper

We introduce an elementary congruence-based procedure to look for q-th power
multiples in arbitrary binary recurrence sequences (q>2). The procedure allows
to prove that no such multiples exist in many instances.

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