Effective $S$-unit Equations Beyond 3 Terms : Newman's Conjecture

Autor:	Bajpai, Prajeet, Bennett, Michael A.
Rok vydání:	2023
Předmět:	Mathematics - Number Theory 11D61 (Primary) 11D45 11J76 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We show how to effectively solve 5-term $S$-unit equations when the set of primes $S$ 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 $S$-units.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.05162 Zobrazit plný text záznamu View this record from Arxiv