Integers representable as differences of linear recurrence sequences

Abstract

Let {Un}n≥0 and {Vm}m≥0 be two linear recurrence sequences. We establish an asymptotic formula for the number of integers c in the range [-x,x] which can be represented as differences Un-Vm . In particular, the density of such integers is 0.

Locations

• PubMed Central - View
• Research in Number Theory - View - PDF
• arXiv (Cornell University) - View - PDF
• Europe PMC (PubMed Central) - View - PDF
• PubMed - View