Kálmán Győry

collaborators

3 papers

math.NT2026

On a character-twisted analogue of Schäffer's equation

Kálmán Györy, Vandita Patel, Ákos Pintér +1

Let $f$ be a positive integer, and let $χ$ be a primitive quadratic character of conductor $f$ . Let $k$ be a positive integer, and write $B_{k} (χ, X)$ for the $k$ -th Bernoulli polynom…

math.NT2023

Explicit bounds for the solutions of superelliptic equations over number fields

Attila Bérczes, Yann Bugeaud, Kálmán Győry +3

Let $f$ be a polynomial with coefficients in the ring $O_{S}$ of $S$ -integers of a number field $K$ , $b$ a non-zero $S$ -integer, and $m$ an integer $\geq 2$ . We consider the equation…

math.NT2023

Decomposable forms generated by linear recurrences

Kalman Gyory, Attila Petho, Laszlo Szalay

Consider $k \geq 2$ distinct, linearly independent, homogeneous linear recurrences of order $k$ satisfying the same recurrence relation. We prove that the recurrences are related to…