9 citations · 10 across the 10 of their papers we have counts for
12 papers
Explicit bounds for the solutions of superelliptic equations over number fields
Attila Bérczes, Yann Bugeaud, Kálmán Győry +3
Let be a polynomial with coefficients in the ring of -integers of a number field , a non-zero -integer, and an integer . We consider the equation…
Decomposable forms generated by linear recurrences
Kalman Gyory, Attila Petho, Laszlo Szalay
Consider distinct, linearly independent, homogeneous linear recurrences of order satisfying the same recurrence relation. We prove that the recurrences are related to…
Multiplicative dependence of rational values modulo approximate finitely generated groups
Attila Bérczes, Yann Bugeaud, Kálmán Győry +3
In this paper, we establish some finiteness results about the multiplicative dependence of rational values modulo sets which are `close' (with respect to the Weil height) to divisi…
On additive and multiplicative decompositions of sets of integers with restricted prime factors, II. (Smooth numbers and generalizations.)
K. Gyory, L. Hajdu, A. Sarkozy
In part I of this paper we studied additive decomposability of the set $\F_y$ of th -smooth numbers and the multiplicative decomposability of the shifted set $\g_y=\F_y+\{1\}$.…
Bounds for the solutions of -unit equations and decomposable form equations II
Kálmán Győry
In this paper we improve upon in terms of S the best known effective upper bounds for the solutions of S-unit equations and decomposable form equations.
Effective results for discriminant equations over finitely generated domains
Jan-Hendrik Evertse, Kálmán Györy
Let be an integral domain with quotient field of characteristic that is finitely generated as a -algebra. Denote by the discriminant of a polynomial…