50 citations · 131 across the 25 of their papers we have counts for
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Primes Generated by Recurrence Sequences
G. Everest, S. Stevens, D. Tamsett +1
We consider primitive divisors of terms of integer sequences defined by quadratic polynomials. Apart from some small counterexamples, when a term has a primitive divisor, that prim…
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…