40 citations · 43 across the 4 of their papers we have counts for
4 papers
A coprimality condition on consecutive values of polynomials
Carlo Sanna, Márton Szikszai
Let be quadratic or cubic polynomial. We prove that there exists an integer such that for every integer one can find infinitely many int…
On arithmetic progressions in Lucas sequences
Lajos Hajdu, Márton Szikszai, Volker Ziegler
In this paper, we consider arithmetic progressions contained in Lucas sequences of first and second kind. We prove that for almost all sequences, there are only finitely many and t…
Perfect powers in products of terms of elliptic divisibility sequences
Lajos Hajdu, Shanta Laishram, Márton Szikszai
Diophantine problems involving recurrence sequences have a long history and is an actively studied topic within number theory. In this paper, we connect to the field by considering…
There are infinitely many rational Diophantine sextuples
Andrej Dujella, Matija Kazalicki, Miljen Mikić +1
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple…