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Rational points on elliptic curves
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 primeExpand
The supercuspidal representations of p-adic classical groups
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
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 ofExpand
Primitive Divisors on Twists of Fermat's Cubic
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
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 simplestExpand
Smooth representations of GL_m(D) VI : semisimple types
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. MoreExpand
Double coset decompositions and intertwining
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☆
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 fundamentalExpand
Cuspidal ℓ-modular representations of p-adic classical groups
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 ofExpand
Jordan blocks of cuspidal representations of symplectic groups
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 LanglandsExpand
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