On the Diophantine equation $(x+1{)}^k+(x+2{)}^k+...+(2x{)}^k=y^n$

Attila Bérczes, István Pink, Gamze SavaŞ +1

In this work, we give upper bounds for $n$ on the title equation. Our results depend on assertions describing the precise exponents of $2$ and $3$ appearing in the prime factorizat…