Kepler Sets of Second-Order Linear Recurrence Sequences Over ℚ_p

2024/06/09 by Kumar, Rishi
#11B39 #11K41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2406.05890

Abstract

Let (a_n)_n=0^∞ be a second-order linear recurrence sequence with constant coefficients over the field of p-adic numbers ℚ_p. We study the set of limit points of the sequence of consecutive ratios (a_n+1/a_n)_n=0^∞ in ℚ_p.

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