50 citations · 61 across the 5 of their papers we have counts for
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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…
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…
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…
Canonical heights and entropy in arithmetic dynamics
Manfred Einsliedler, Graham Everest, Thomas Ward
A system of transformations is associated to a rational point on an elliptic curve. The sequence entropy is connected to the canonical height, and in some cases there is a canonica…
Explicit local heights
Graham Everest
A new proof is given for the explicit formulae for the non-archimedean canonical height on an elliptic curve. This arises as a direct calculation of the Haar integral in the ellipt…