On the congruence $f(x)+g(y)+c\equiv 0$ $({\rm mod}$ $xy)$ (completion of Mordell's proof)
Volume 167 / 2015
Acta Arithmetica 167 (2015), 347-374
MSC: 11D09, 11D25, 11D41.
DOI: 10.4064/aa167-4-3
Abstract
Assertions on the congruence $$ f(x) + g(y) + c \equiv 0 \ ({\rm mod}\ xy) $$ made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
