L. Hajdu

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20112026

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math.NT2026

Asymptotic formulas for sums of elements from a multiplicative group

Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu +2

Let $K$ be a number field, $k \geq 2$ an integer, $(K^{*})^{k}$ the $k$ -fold direct product of $K^{*}$ with coordinatewise multiplication, and $Γ$ 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 $n$ -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…