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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…
math.NT2007
Triangles with two given integral sides
Szabolcs Tengely
We study some Diophantine problems related to triangles with two given integral sides. We solve two problems posed by Zoltán Bertalan and we also provide some generalization.