Now showing items 61-66 of 66
Moment Polynomials for the Riemann Zeta Function
(University of Waterloo, 2009-01-21)
In this thesis we calculated the coefficients of moment polynomials of the Riemann zeta function for k= 4, 5, 6...13 using cubic acceleration, which is an improved method from quadratic acceleration. We then numerically ...
Equality of Number-Theoretic Functions over Consecutive Integers
(University of Waterloo, 2009-04-30)
This thesis will survey a group of problems related to certain number-theoretic functions. In particular, for said functions, these problems take the form of when and how often they are equal over consecutive integers, n ...
The Weil conjectures
(University of Waterloo, 2008-01-24)
In discussing the question of rational points on algebraic curves, we are usually concerned with ℚ. André Weil looked instead at curves over finite fields; assembling the counts into a function, he discovered that it ...
On the Structure of Nonnegative Semigroups of Matrices
(University of Waterloo, 2009-08-18)
The results presented here are concerned with questions of decomposability of multiplicative semigroups of matrices with nonnegative entries. Chapter 1 covers some preliminary results which become useful in the remainder ...
The Algebraic Kirchberg--Phillips Conjecture for Leavitt Path Algebras
(University of Waterloo, 2015-09-18)
This essay is meant to be an exposition of the theory of Leavitt path algebras and graph C*-algebras, with an aim to discuss some current classification questions. These two classes of algebras sit on opposite sides of a ...
A Survey of the Classification of Division Algebras
(University of Waterloo, 2008-09-29)
For a given field F we seek all division algebras over F up to isomorphism. This question was first investigated for division algebras of finite dimension over F by Richard Brauer. We discuss the construction of the Brauer ...