Abstract
Upper bounds for the solution $l$ of the equations of the title are derived by using results concerning the equation $ax^l-by^l=c$ with $a,b,c$ non-zero integers. These solutions are also determined in some special cases.
Citation
Nobuhiro TERAI. "On the Diophantine Equations ${n\choose 2}=cx^l$ and ${n\choose 3}=cx^l$." Tokyo J. Math. 25 (2) 209 - 220, December 2002. https://doi.org/10.3836/tjm/1244208849
Information