50 citations · 61 across the 5 of their papers we have counts for
10 papers
Primitive divisors of elliptic divisibility sequences
Graham Everest, Gerard Mclaren, Tom Ward
Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a unifo…
Orbit counting with an isometric direction
G. Everest, V. Stangoe, T. Ward
Analogues of the prime number theorem and Merten's theorem are well-known for dynamical systems with hyperbolic behaviour. In this paper a 3-adic extension of the circle doubling m…
Prime divisors of sequences associated to elliptic curves
Graham Everest, Igor E Shparlinski
We consider the primes which divide the denominator of the x-coordinate of a sequence of rational points on an elliptic curve. It is expected that for every sufficiently large valu…
Divisibility in elliptic divisibility sequences
Graham Everest, Helen King
Certain elliptic divisibility sequences are shown to contain only finitely many prime power terms. In certain circumstances, the methods show only finitely many terms have length b…
Periodic points for good reduction maps on curves
Manfred Einsiedler, Graham Everest, Thomas Ward
The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the p-adics form a discrete set. This is used to give an interpretation o…
Integer sequences counting periodic points
Graham Everest, Yash Puri, Thomas Ward
An existing dialogue between number theory and dynamical systems is advanced. A combinatorial device gives necessary and sufficient conditions for a sequence of non-negative intege…