Affiliation:
1. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6, Canada
Abstract
We connect several seemingly unrelated conjectures of Ankeny, Artin, Chowla and Mordell to a conjecture of Erdös on consecutive squarefull numbers. We then study the Erdös conjecture and relate it to the abc conjecture. We also derive by elementary methods several unconditional results pertaining to the Erdös conjecture.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
2 articles.
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1. Arithmetic progressions in squarefull numbers;International Journal of Number Theory;2023-09-21
2. Ambiguous solutions of a Pell equation;Involve, a Journal of Mathematics;2023-04-14