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Rational points on elliptic curves

- G. Everest, J. Reynolds, S. Stevens
- Mathematics
- 31 May 2006

We consider the structure of rational points on elliptic curves in Weierstrass form. Let x(P)=A_P/B_P^2 denote the $x$-coordinate of the rational point P then we consider when B_P can be a prime… Expand

The supercuspidal representations of p-adic classical groups

- S. Stevens
- Mathematics
- 25 July 2006

Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G,… Expand

Semisimple characters for p-adic classical groups

- S. Stevens
- Mathematics
- 15 March 2005

Let G be a unitary, symplectic, or orthogonal group over a non-Archimedean local field of residual characteristic different from 2, considered as the fixed-point subgroup in a general linear group of… Expand

On the realization of maximal simple types and epsilon factors of pairs

- Vytautas Paškūnas, S. Stevens
- Mathematics
- 2 March 2006

Let $G$ be the group of rational points of a general linear group over a non-archimedean local field $F$. We show that certain representations of open, compact-mod-centre subgroups of $G$, (the… Expand

Jordan blocks of cuspidal representations of symplectic groups

- C. Blondel, G. Henniart, S. Stevens
- MathematicsAlgebra & Number Theory
- 11 April 2017

Let $G$ be a symplectic group over a nonarchimedean local field of characteristic zero and odd residual characteristic. Given an irreducible cuspidal representation of G, we determine its Langlands… Expand

Primitive Divisors on Twists of Fermat's Cubic

- G. Everest, Patrick Ingram, S. Stevens
- Mathematics
- 2009

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.

Smooth representations of GL_m(D) VI : semisimple types

- Vincent S'echerre, S. Stevens
- Mathematics
- 6 September 2010

We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local field. More… Expand

Semisimple types for $$p$$p-adic classical groups

- Michitaka Miyauchi, S. Stevens
- Mathematics
- 3 December 2012

We construct, for any symplectic, unitary or special orthogonal group over a locally compact nonarchimedean local field of odd residual characteristic, a type for each Bernstein component of the… Expand

Smooth representations of GL_m(D), V: Endo-classes

- P. Broussous, Vincent S'echerre, S. Stevens
- Mathematics
- 28 April 2010

Let F be a locally compact nonarchimedean local field. In this article, we extend to any inner form of GL_n over F, with n>0, the notion of endo-class introduced by Bushnell and Henniart for GL_n(F).… Expand

Intertwining and Supercuspidal Types for p‐Adic Classical Groups

- S. Stevens
- Mathematics
- 1 July 2001

Let F be a non‐archimedean local field of residual characteristic different from 2, and let G be a unitary, symplectic or orthogonal group, considered as the fixed point subgroup in G~=GL(N,F) of an… Expand

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