Rational solutions to the Variants of Erdős- Selfridge superelliptic curves

Pranabesh Das, Shanta Laishram, N. Saradha +1

For the superelliptic curves of the form $$(x+1)\cdots (x+i-1)(x+i+1)\cdots (x+k)=y^{\ell }$$ with $x,y\in \mathbb{Q}$, $y\ne 0$, $k\ge 3$, $1\le i\le k$, $\ell \ge 2,$ a prim…