On arithmetic progressions of equal lengths with equal products

Saradha, N. ; Shorey, T. N. ; Tijdeman, R. (1995) On arithmetic progressions of equal lengths with equal products Mathematical Proceedings of the Cambridge Philosophical Society, 117 (2). pp. 193-201. ISSN 0305-0041

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Related URL: http://dx.doi.org/10.1017/S0305004100073047

Abstract

It is shown that apart from (k+1)(k+2)...(2k)=2.6...(4k−2) for k=2,3,4,..., there are only finitely many arithmetic progressions with given differences of equal lengths ≥ 2 and with equal products and that they can be effectively determined.

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