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 -