2 citations · 6 across the 18 of their papers we have counts for
23 papers
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…
Error Correction for Discrete Tomography
M. Ceko, L. Hajdu, R. Tijdeman
Discrete tomography focuses on the reconstruction of functions from their line sums in a finite number of directions, where is a finite subset of $\ma…
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…
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 $\g_y=\F_y+\{1\}$.…
On additive and multiplicative decompositions of sets of integers with restricted prime factors, I. (Smooth numbers.)
K. Győry, L. Hajdu, A. Sárközy
In [10] the third author of this paper presented two conjectures on the additive decomposability of the sequence of ''smooth'' (or ''friable'') numbers. Elsholtz and Harper [4] pro…
On the smallest number of terms of vanishing sums of units in number fields
Csanád Bertók, Kálmán Győry, Lajos Hajdu +1
Let be a number field. In the terminology of Nagell a unit of is called {\it exceptional} if is also a unit. The existence of such a unit is e…