31 citations · 198 across the 29 of their papers we have counts for
4 papers · 1 filter
The uniform primality conjecture for elliptic curves
Graham Everest, Patrick Ingram, Valery Mahe +1
An elliptic divisibility sequence, generated by a point in the image of a rational isogeny, is shown to possess a uniformly bounded number of prime terms. This result applies over…
Genericity of supercuspidal representations of p-adic Sp(4)
Corinne Blondel, Shaun Stevens
We describe the supercuspidal representations of Sp(4,F), for F a non-archimedean local field of residual characteristic different from 2, and determine which are generic.
Dirichlet series for finite combinatorial rank dynamics
G. Everest, R. Miles, S. Stevens +1
We introduce a class of group endomorphisms -- those of finite combinatorial rank -- exhibiting slow orbit growth. An associated Dirichlet series is used to obtain an exact orbit c…
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.