4 papers · 1 filter
The Diophantine equation for polynomials with simple rational roots
L. Hajdu, R. Tijdeman
In this paper we consider Diophantine equations of the form where has simple rational roots and has rational coefficients. We give strict conditions for the cas…
Skolem's conjecture confirmed for a family of exponential equations, II
A. Bérczes, L. Hajdu, R. Tijdeman
According to Skolem's conjecture, if an exponential Diophantine equation is not solvable, then it is not solvable modulo an appropriately chosen modulus. Besides several concrete e…
Finding well approximating lattices for a finite set of points
A. Hajdu, L. Hajdu, R. Tijdeman
In this paper we address the problem of finding well approximating lattices for a given finite set of points in . More precisely, we search for $ǒ,\v{d_1}, \dots…
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…