On perfect powers that are sums of cubes of a nine term arithmetic progression

Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja +2

We study the equation $(x-4r{)}^3+(x-3r{)}^3+(x-2r{)}^3+(x-r{)}^3+x^3+(x+r{)}^3+(x+2r{)}^3+(x+3r{)}^3+(x+4r{)}^3=y^p$, which is a natural continuation of previous works carried out b…