On equal values of products and power sums of consecutive elements in an arithmetic progression

András Bazsó, Dijana Kreso, Florian Luca +2

In this paper we study the Diophantine equation \begin{align*} b^k + \left(a+b\right)^k + &\left(2a+b\right)^k + \ldots + \left(a\left(x-1\right) + b\right)^k = \\ &y\left(y+c\righ…