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math.NT2023
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…
math.NT2013
Diophantine equations with Euler polynomials
D. Kreso, Cs. Rakaczki
In this paper we determine possible decompositions of Euler polynomials , i.e. possible ways of writing Euler polynomials as a functional composition of polynomials of lowe…