TY - BOOK

T1 - Some Diophantine equations from finite group theory: $\Phi_m (x) = 2p^n -1$

AU - Luca, F.

AU - Moree, P.

AU - Weger, de, B.M.M.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://arxiv.org/pdf/0907.5323

M3 - Report

T3 - arXiv.org

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

PB - s.n.

ER -