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.

引用

页数：38

共 25 条

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