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Type: Article
Products of members of Lucas sequences with indices in an interval being a power
Abstract:
In this paper, we show that the product Of Sufficiently many distinct members of a Lucas sequence with indices in an interval of a fixed length cannot be a perfect power of exponent larger than 1.
In this paper, we show that the product Of Sufficiently many distinct members of a Lucas sequence with indices in an interval of a fixed length cannot be a perfect power of exponent larger than 1.
Keywords: Exponential diophantine equations; perfect powers; consecutive integers; bounds; terms
MSC: 11B39
Journal: Journal of Number Theory
ISSN: 0022-314X
Year: 2009
Volume: 129
Number: 2
Pages: 303--315
Created: 2012-12-07 13:49:35
Modified: 2014-02-12 11:38:08
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