Browsing Graduate Studies (MU) by Thesis Department "Mathematics"
Now showing items 15 of 5

Conformal mappings and the SchwarzChristoffel transformation
(University of MissouriColumbia, 2017)Let ? be an open and connected set in the complex plane. A mapping f : ? ? C is said to be conformal at a point z0 if it preserves angles and orientation between curves intersecting at z0. We discuss tangent lines and their ... 
Exponential sums, character sums, sieve methods and distribution of prime numbers
(University of MissouriColumbia, 2017)This thesis is focus on the methods of exponential sums and sieve methods applying to distribution of primes numbers in several forms, such as PiatetskiShapiro primes, Beatty sequences, almost primes and primes in arithmetic ... 
Harmonic functions and the Dirichlet problem
(University of MissouriColumbia, 2017)Let ? be an open and connected subset of the complex plane. A real valued function u : ? ? R is said to be harmonic if it has continuous first and second partial derivatives and satisfies Laplaces equation ?u = ? 2u ?x2 + ... 
Perinormality in Polynomial and ModuleFinite Ring Extensions
(University of MissouriColumbia, 2017)In this dissertation we investigate some open questions posed by Epstein and Shapiro in [9] regarding perinormal domains. More specifically, we focus on the ascent/descent property of perinormality between "canonical" ... 
Uniform bounds in ffinite rings and their applications
(University of MissouriColumbia, 2017)This dissertation establishes uniform bounds in characteristic p rings which are either Ffinite or essentially of finite type over an excellent local ring. These uniform bounds are then used to show that the HilbertKunz ...