Effective $S$-unit Equations Beyond 3 Terms : Newman's Conjecture
Number Theory
2023-08-11 v1
Abstract
We show how to effectively solve 5-term -unit equations when the set of primes has cardinality at most 3, and use this to provide an explicit answer to an old question of D.J. Newman on representations of integers as sums of -units.
Cite
@article{arxiv.2308.05162,
title = {Effective $S$-unit Equations Beyond 3 Terms : Newman's Conjecture},
author = {Prajeet Bajpai and Michael A. Bennett},
journal= {arXiv preprint arXiv:2308.05162},
year = {2023}
}