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On a variant of Pillai's problem II (1610.06304v2)

Published 20 Oct 2016 in math.NT

Abstract: In this paper, we show that there are only finitely many $c$ such that the equation $U_n - V_m = c$ has at least two distinct solutions $(n,m)$, where ${U_n}{n\geq 0}$ and ${V_m}{m\geq 0}$ are given linear recurrence sequences.

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