31 citations · 198 across the 29 of their papers we have counts for
8 papers · 1 filter
Generalized Local Coefficients
Carlos De la Mora, Shaun Stevens
In this paper we showed that under two assumptions we are able to define interesting functions that we call generalized local coefficients. We showed that in the quasi-split case g…
Towards the Jacquet Conjecture on the Local Converse Problem for -adic
Dihua Jiang, Chufeng Nien, Shaun Stevens
The Local Converse Problem is to determine how the family of the local gamma factors characterizes the isomorphism class of an irreducible admissible generic repr…
Intertwining semisimple characters for p-adic classical groups
Daniel Skodlerack, Shaun Stevens
Let~ be a unitary group of an~-hermitian form~ given over a nonarchimedean local field~ of odd residue characteristic. We introduce a geometric combinatoric condition…
The Uniform Primality Conjecture for the Twisted Fermat Cubic
Graham Everest, Ouamporn Phuksuwan, Shaun Stevens
On the twisted Fermat cubic, an elliptic divisibility sequence arises as the sequence of denominators of the multiples of a single rational point. We prove that the number of prime…
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…
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.