3 papers
math.NT2026
On a character-twisted analogue of Schäffer's equation
Kálmán Györy, Vandita Patel, Ákos Pintér +1
Let be a positive integer, and let be a primitive quadratic character of conductor . Let be a positive integer, and write for the -th Bernoulli polynom…
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.NT2021
On power values of pyramidal numbers, II
Andrej Dujella, Kálmán Győry, Philippe Michaud-Jacobs +1
For , we define the th order pyramidal number by \[ \mathrm{Pyr}_m(x) = \frac{1}{6} x(x+1)((m-2)x+5-m). \] In a previous paper, written by the first-, second-, and fou…