Effective S-unit equations beyond three terms: Newman's Conjecture

被引：1
|
作者：
Bajpai, Prajeet [1 ]
Bennett, Michael A. [1 ]
机构：
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
ACTA ARITHMETICA | 2024年
基金：
加拿大自然科学与工程研究理事会;
关键词：
exponential equation; Baker's bounds; S-unit equations; LINEAR-FORMS; LOGARITHMS; THEOREM; SUMS;
D O I：
10.4064/aa230725-14-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：38
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