Original scientific paper
https://doi.org/10.21857/y7v64t4jky
A question of Erdős on 3-powerful numbers and an elliptic curve analogue of the Ankeny-Arkin-Chowla conjecture
P. G. Walsh
; Department of Mathematics, University of Ottawa, Canada
Abstract
We describe how the Mordell-Weil group of rational points on a certain family of elliptic curves give rise to solutions to a conjecture of Erdős on 3-powerful numbers, and state a related conjecture which can be viewed as an elliptic curve analogue of the famous Ankeny-Artin-Chowla conjecture.
Keywords
Powerful number; diophantine equation; elliptic curve
Hrčak ID:
326515
URI
Publication date:
9.1.2025.
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