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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

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.

Orbit-counting in non-hyperbolic dynamical systems

- G. Everest, R. Miles, S. Stevens, T. Ward
- Mathematics
- 22 November 2005

Abstract There are well-known analogues of the prime number theorem and Mertens' Theorem for dynamical systems with hyperbolic behaviour. Here we consider the same question for the simplest… Expand

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

Double coset decompositions and intertwining

- S. Stevens
- Mathematics
- 1 November 2001

Abstract: Let F be a non-archimedean local field of residual characteristic different from 2. This paper is a first step in the description of the smooth representation theory of a unitary group G⊂… Expand

Semisimple strata for p-adic classical groups☆

- S. Stevens
- Mathematics
- 2002

Let F0 be a non-archimedean local field, of residual characteristic different from 2, and let G be a unitary, symplectic or orthogonal group defined over F0. In this paper, we prove some fundamental… Expand

Cuspidal ℓ-modular representations of p-adic classical groups

- R. Kurinczuk, S. Stevens
- Mathematics
- 7 September 2015

Abstract For a classical group over a non-archimedean local field of odd residual characteristic p, we construct all cuspidal representations over an arbitrary algebraically closed field of… Expand

Jordan blocks of cuspidal representations of symplectic groups

- C. Blondel, G. Henniart, S. Stevens
- Mathematics
- 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

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