Kepler sets of second-order linear recurrence sequences over Qp

Rishi Kumar

doi:10.1142/S1793042125500058

Kepler sets of second-order linear recurrence sequences over Q_p

Rishi Kumar

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Journal	International Journal of Number Theory
DOIs	https://doi.org/10.1142/S1793042125500058
State	Accepted/In press - 1 Jan 2024

Keywords

Linear recurrence sequences
monothetic groups
p-adic Möbius transformations
p-adic numbers
ratio sets

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S1793042125500058

Cite this

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title = "Kepler sets of second-order linear recurrence sequences over Qp",

abstract = "Let (an)n=0∞ be a second-order linear recurrence sequence with constant coefficients over the field of p-adic numbers Qp. We study the set of limit points of the sequence of consecutive ratios (an+1/an)n=0∞ in Qp.",

keywords = "Linear recurrence sequences, monothetic groups, p-adic M{\"o}bius transformations, p-adic numbers, ratio sets",

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N2 - Let (an)n=0∞ be a second-order linear recurrence sequence with constant coefficients over the field of p-adic numbers Qp. We study the set of limit points of the sequence of consecutive ratios (an+1/an)n=0∞ in Qp.

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

KW - Linear recurrence sequences

KW - monothetic groups

KW - p-adic Möbius transformations

KW - p-adic numbers

KW - ratio sets

UR - https://www.scopus.com/pages/publications/85202646007

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DO - 10.1142/S1793042125500058

M3 - Article

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JO - International Journal of Number Theory

JF - International Journal of Number Theory

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