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 their …

Arithmetic progressions on Pell equations Page 1 Journal of Number Theory 128 (2008)
1389–1409 www.elsevier.com/locate/jnt Arithmetic progressions on Pell equations A. Pethoa,1 …

1. Introduction. Let K be an algebraic number field of degree k, and let ai,..., an be linearly
independent elements of K over Q. Denote by D e Z the common denominator of ai,..., an …

In this paper, we provide an effective and practical method to find all three term arithmetic
progressions in a given Lucas sequence of the first or second kind. Our interest is the case …

Fifteen problems in number theory Page 72 Acta Univ. Sapientiae, Mathematica, 2, 1 (2010)
72–83 Fifteen problems in number theory Attila Petho University of Debrecen Department of …

MARKOFF–ROSENBERGER TRIPLES IN GEOMETRIC PROGRESSION Page 1 Acta Math.
Hungar., 142 (1) (2014), 231–243 DOI: 10.1007/s10474-013-0351-7 First published online …

We consider arithmetic progressions on Pellian equations x2-dy 2= m, ie integral solutions
such that the y-coordinates are in arithmetic progression. We construct explicit in nite …

On arithmetic progressions in recurrences – A new characterization of the Fibonacci
sequence Page 1 Journal of Number Theory 132 (2012) 1686–1706 Contents lists …

Sažetak We consider geometric progressions on the solution set of Pell equations and give
upper bounds for such geometric progressions. Moreover, we show how to find for a given …

Válasz: A számelmélet és a kriptográ a nagyon sok szálon kapcsolódik egymáshoz, például
az egyik legismertebb titkosítási eljárás az RSA esetében az húzódik meg a háttérben, hogy …