2 citations · 5 across the 13 of their papers we have counts for
16 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…
Algorithms for linear time reconstruction by discrete tomography II
Matthew Ceko, Silvia M. C. Pagani, Rob Tijdeman
The reconstruction of an unknown function from its line sums is the aim of discrete tomography. However, two main aspects prevent reconstruction from being an easy task. In gen…
A linear time approach to three-dimensional reconstruction by discrete tomography
Matthew Ceko, Silvia M. C. Pagani, Rob Tijdeman
The goal of discrete tomography is to reconstruct an unknown function via a given set of line sums. In addition to requiring accurate reconstructions, it is favourable to be ab…
Arithmetic properties of blocks of consecutive integers
Tarlok N. Shorey, Rob Tijdeman
This paper provides a survey of results on the greatest prime factor, the number of distinct prime factors, the greatest squarefree factor and the greatest m-th powerfree part of a…