Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Powerful number; diophantine equation; elliptic curve
Hrčak ID:
326515
URI
Datum izdavanja:
9.1.2025.
Posjeta: 0 *