Title

On the Diophantine equation cyl = xp-1/x-1

Author's Department

Mathematics & Actuarial Science Department

Find in your Library

https://doi.org/10.5486/PMD.2013.5328

Document Type

Research Article

Publication Title

Publicationes Mathematicae

Publication Date

3-12-2013

doi

10.5486/PMD.2013.5328

Abstract

Let p, c be distinct odd primes, and l ≥ 2 an integer. We find suffcient conditions for the Diophantine equation cyl = φp (x) = xp-1/x-1 = = xp-1 + xp-2 + · · · + 1 not to have integer solutions.

First Page

373

Last Page

378

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