3 papers
math.NT2023
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…
math.NT2018
Multiplicative dependence among iterated values of rational functions modulo finitely generated groups
Attila Bérczes, Alina Ostafe, Igor E. Shparlinski +1
We study multiplicative dependence between elements in orbits ofalgebraic dynamical systems over number fields modulo a finitely generated multiplicative subgroup of the field. We…
math.NT2011
Multiply monogenic orders
Attila Bérczes, Jan-Hendrik Evertse, Kálmán Győry
Let O be an order in an algebraic number field K, i.e., a ring with quotient field K which is contained in the ring of integers of K. The order O is called monogenic, if it is of t…