3 papers
math.NT2011
On GCD(Φ_N(a^n),Φ_N(b^n))
Joseph Cohen, Jack Sonn
There has been interest during the last decade in properties of the sequence {gcd(a^n-1,b^n-1)}, n=1,2,3,..., where a,b are fixed (multiplicatively independent) elements in either…
math.NT2005
Primitive Roots in Quadratic Fields II
Joseph Cohen
This paper is continuation of the paper "Primitive roots in quadratic field". We consider an analogue of Artin's primitive root conjecture for algebraic numbers which is not a unit…
math.NT2003
Primitive roots in quadratic fields
Joseph Cohen
We consider an analogue of Artin's primitive root conjecture for units in real quadratic fields. Given such a nontrivial unit, for a rational prime p which is inert in the field th…