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Showing 2006 · math.NTShow all
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math.NT2006★ 1 cited
On squares in Lucas sequences
A. Bremner, N. Tzanakis
Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q) is defined by U_0=0, U_1=1, U_n= P*U_{n-1}-Q*U_{n-2} for n >1. The question of when U_n(P,Q) can be a perfect square h…
math.NT2006★ 2 cited
Number fields unramified away from 2
John W. Jones
We consider finite extensions of the rationals which are unramified except for at 2 and infinity. We show there are no such extensions of degrees 9 through 15.