Glasnik matematički, Vol. 40 No. 1, 2005.
Original scientific paper
On shifted products which are powers
Florian Luca
Abstract
In this note, we improve upon results of Bugeaud, Gyarmati, Sarkozy and Stewart concerning the size of a subset A of {1,...,N} such that the product of any two distinct elements of A plus 1 is a perfect power. We also show that the cardinality of such a set is uniformly bounded assuming the ABC-conjecture, thus improving upon a result of Dietmann, Elsholtz, Gyarmati and Simonovits.
Keywords
Shifted products; perfect powers
Hrčak ID:
393
URI
Publication date:
21.5.2005.
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