Glasnik Matematicki, Vol. 42, No.2 (2007), 273-279.

ON POWERS IN SHIFTED PRODUCTS

K. Gyarmati and C. L. Stewart

Alfréd Rényi Institute of Mathematics, 13-15 Reáltanoda u., 1053 Budapest, Hungary
e-mail: gykati@renyi.hu

Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
e-mail: cstewart@uwaterloo.ca


Abstract.   In this note we give an estimate for the size of a subset A of {1, ..., N} which has the property that the product of any two distinct elements of A plus 1 is a perfect power.

2000 Mathematics Subject Classification.   11B75, 11D99.

Key words and phrases.   Perfect powers, extremal graph theory.


Full text (PDF) (free access)

DOI: 10.3336/gm.42.2.02


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