2 papers
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 -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…