Effective -unit equations beyond three terms: Newman’s Conjecture
Tom 214 / 2024
Acta Arithmetica 214 (2024), 421-458
MSC: Primary 11D61; Secondary 11D45, 11J76
DOI: 10.4064/aa230725-14-9
Opublikowany online: 21 February 2024
Streszczenie
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.
