Year: 2026
Type: preprint
Abstract: We prove that the pairs of integers $0\le m0$ and $1<γ<(1+\sqrt5)/2$. We obtain the counterexample by combining Dubickas's fractional-part theorem with an elementary sign adjustment. For a common base in this range, we further construct two such sequences whose interleaving is incomplete and whose coefficient ratio is not a rational multiple of any integer power of the base.
Source: arXiv (Cornell University)
Author: Geneson, Jesse
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214123129