50 citations · 70 across the 12 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.NT2007
Descent on Elliptic Curves and Hilbert's Tenth Problem
Graham Everest, Kirsten Eisentraeger
Descent via an isogeny on an elliptic curve is used to construct two subrings of the field of rational numbers, which are complementary in a strong sense, and for which Hilbert's T…
math.NT2007
Primitive divisors on twists of the Fermat cubic
Graham Everest, Patrick Ingram, Shaun Stevens
We show that for an elliptic divisibility sequence on a twist of the Fermat cubic, u^3+v^3=m, with m cube-free, all the terms beyond the first have a primitive divisor.
math.NT2007
On primitive divisors of n^2+b
Graham Everest, Glyn Harman
We study primitive divisors of terms of the sequence P_n=n^2+b, for a fixed integer b which is not a negative square. It seems likely that the number of terms with a primitive divi…