Now showing items 68-82 of 82

• #### Some cohomology of finite general linear groups ﻿

We prove that the degree r(2p − 3) cohomology of any (untwisted) finite group of Lie type over F_(p^r), with coefficients in characteristic p, is nonzero as long as its Coxeter number is at most p. We do this by providing ...
• #### Some Linear and Nonlinear Geometric Inverse Problems ﻿

Inverse problems is an area at the interface of several disciplines and has become a prominent research topic due to its potential applications. A wide range of these problems can be formulated under various geometric ...
• #### Spectral Theory of Z^d Substitutions ﻿

In this paper, we generalize and develop results of Queffelec allowing us to characterize the spectrum of an aperiodic substitution in Z^d by describing the Fourier coefficients of mutually singular measures of pure type ...

(1996)
• #### The Zeros of Elliptic Curve L-functions: Analytic Algorithms with Explicit Time Complexity ﻿

Elliptic curves are central objects of study in modern-day algebraic number theory. The problem of how to determine the rank of a rational elliptic curve is a difficult one, and at the time of the writing of this thesis ...