233 citations
- Foundation for Research and Technology HellasGR9 papers
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- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
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math.NT2008
Algorithms for translational tiling
Mihail N. Kolountzakis, Mate Matolcsi
In this paper we study algorithms for tiling problems. We show that the conditions and of Coven and Meyerowitz, conjectured to be necessary and sufficient for a finit…
math.NT2004
Lucas sequences whose 8th term is a square
Andrew Bremner, Nikos Tzanakis
Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q), n=0,1,2,... is defined by U_0=0, U_1=1, U_n= P U_{n-1}-Q U_{n-2} for n>1. For each positive integer n<8 we describe a…
math.NT2004
Lucas sequences whose 12th or 9th term is a square
Andrew Bremner, Nikos Tzanakis
Let P and Q be non-zero relatively prime integers. The Lucas sequence {U_n(P,Q) is defined by U_0=0, U_1=1, U_n = P U_{n-1}-Q U_{n-2} for n>1. The sequence {U_n(1,-1)} is the famil…