3 papers
math.NT2026
Asymptotic formulas for sums of elements from a multiplicative group
Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu +2
Let be a number field, an integer, the -fold direct product of with coordinatewise multiplication, and a finitely generated subgroup of rank $r…
math.NT2024
Integers represented by Lucas sequences
L. Hajdu, R. Tijdeman
In this paper we study the sets of integers which are -th terms of Lucas sequences. We establish lower- and upper bounds for the size of these sets. These bounds are sharp for $…
math.NT2011
On a conjecture of Pomerance
L. Hajdu, N. Saradha, R. Tijdeman
We say that k is a P-integer if the first phi(k) primes coprime to k form a reduced residue system modulo k. In 1980 Pomerance proved the finiteness of the set of P-integers and co…