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

2023/08/09 by Prajeet Bajpai, Michael A. Bennett, Bajpai, Prajeet +1 · 1 citation
Mathematics · #11D61 (Primary) 11D45 #11J76 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2308.05162

openalex publication_date 2023/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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