L. Hajdu

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20052009

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math.NT2009

Optimal systems of fundamental S-units for LLL-reduction

Lajos Hajdu

We show that a particular parameter plays a vital role in the resolution of S-unit equations, at the stage where LLL-reduction is applied. We define the notion of optimal system of…

math.NT2007

Arithmetic progressions of squares, cubes and $n$ -th powers

Lajos Hajdu, Szabolcs Tengely

In this paper we continue the investigations about unlike powers in arithmetic progression. We provide sharp upper bounds for the length of primitive non-constant arithmetic progre…

math.NT2005

Arithmetic progressions consisting of unlike powers

N. Bruin, K. Gyory, L. Hajdu +1

In this paper we present some new results about unlike powers in arithmetic progression. We prove among other things that for given $k \geq 4$ and $L \geq 3$ there are only finitely…

Optimal systems of fundamental S-units for LLL-reduction

Arithmetic progressions of squares, cubes and n-th powers

Arithmetic progressions consisting of unlike powers

Arithmetic progressions of squares, cubes and $n$ -th powers