On the approximation gain for abc-triples
Number Theory
2026-02-10 v1
Abstract
The concept of approximation gain was introduced recently by M\"uller and Taktikos for some abc-triples related to convergents of surds, where there is a relatively large gap between min{a,b,c} and max{a,b,c}. This note proposes a generalization of the concept to all abc-triples, with several variants. Extensive numerical computations are provided.
Cite
@article{arxiv.2602.08051,
title = {On the approximation gain for abc-triples},
author = {Benne de Weger},
journal= {arXiv preprint arXiv:2602.08051},
year = {2026}
}
Comments
12 pages, 2 figures