Almost perfect powers in consecutive integers (II)

Saradha, N. ; Shorey, T. N. (2008) Almost perfect powers in consecutive integers (II) Indagationes Mathematicae, 19 (4). pp. 649-658. ISSN 0019-3577

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

Related URL: http://dx.doi.org/10.1016/S0019-3577(08)80027-4

Abstract

Let k ≥ 4 be an integer. We find all integers of the form byl where l ≥ 2 and the greatest prime factor of b is at most k (i.e. nearly a perfect power) such that they are also products of k consecutive integers with two terms omitted.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Arithmetic Progressions; Exponential Diophantine Equations; Generalized Fermat Equations; Modular Methods; Thue Equations
ID Code:67707
Deposited On:31 Oct 2011 13:29
Last Modified:31 Oct 2011 13:29

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