Some Diophantine equations from finite group theory: $\Phi_m (x) = 2p^n -1$

F. Luca, P. Moree, B.M.M. Weger, de

Research output: Book/ReportReportAcademic

Abstract

We show that the equation in the title (with Fn the nth cyclotomic polynomial) has no integer solution with n = 1 in the cases (m, p) = (15, 41), (15, 5581), (10, 271). These equations arise in a recent group theoretical investigation by Z. Akhlaghi, M. Khatami and B. Khosravi.
Original languageEnglish
Publishers.n.
Number of pages17
Publication statusPublished - 2009

Publication series

NamearXiv.org
Volume0907.5323

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