On a variant of Pillai's problem

Kwok Chi Chim; István Pink; Volker Ziegler

doi:10.1142/S1793042117500981

On a variant of Pillai's problem

Kwok Chi Chim, István Pink, Volker Ziegler

Institute of Analysis and Number Theory (5010)

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

Abstract

In this paper, we find all integers $c$ having at least two representations as a difference between a Fibonacci number and a Tribonacci number.

Original language	English
Pages (from-to)	1711-1727
Journal	International Journal of Number Theory
Volume	13
Issue number	7
DOIs	https://doi.org/10.1142/S1793042117500981
Publication status	Published - 2017

Keywords

math.NT
Diophantine equations
Pillai’s problem
Fibonacci sequence
Tribonacci sequence

ASJC Scopus subject areas

General Mathematics

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10.1142/S1793042117500981

Cite this

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title = "On a variant of Pillai's problem",

abstract = "In this paper, we find all integers $c$ having at least two representations as a difference between a Fibonacci number and a Tribonacci number.",

keywords = "math.NT, Diophantine equations, Pillai{\textquoteright}s problem, Fibonacci sequence, Tribonacci sequence",

author = "Chim, {Kwok Chi} and Istv{\'a}n Pink and Volker Ziegler",

year = "2017",

doi = "10.1142/S1793042117500981",

language = "English",

volume = "13",

pages = "1711--1727",

journal = "International Journal of Number Theory",

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KW - Diophantine equations

KW - Pillai’s problem

KW - Fibonacci sequence

KW - Tribonacci sequence

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DO - 10.1142/S1793042117500981

M3 - Article

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EP - 1727

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 7

ER -

On a variant of Pillai's problem

Abstract

Keywords

ASJC Scopus subject areas

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Cite this