Products of members of Lucas sequences with indices in an interval being a power

Luca, Florian ; Shorey, T. N. (2009) Products of members of Lucas sequences with indices in an interval being a power Journal of Number Theory, 129 (2). pp. 303-315. ISSN 0022-314X

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jnt.2008.06.015

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:67712
Deposited On:31 Oct 2011 13:29
Last Modified:31 Oct 2011 13:29

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