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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Arithmetic of carlitz polynomials

Bamunoba, Alex Samuel 12 1900 (has links)
Thesis (PhD)–Stellenbosch University, 2014. / ENGLISH ABSTRACT: See pdf for abstract / AFRIKAANSE OPSOMMING: Sien PDF vir die opsomming
2

Explicit class field theory for rational function fields

Rakotoniaina, Tahina 12 1900 (has links)
Thesis (MSc (Mathematical Sciences))--Stellenbosch University, 2008. / Class field theory describes the abelian extensions of a given field K in terms of various class groups of K, and can be viewed as one of the great successes of 20th century number theory. However, the main results in class field theory are pure existence results, and do not give explicit constructions of these abelian extensions. Such explicit constructions are possible for a variety of special cases, such as for the field Q of rational numbers, or for quadratic imaginary fields. When K is a global function field, however, there is a completely explicit description of the abelian extensions of K, utilising the theory of sign-normalised Drinfeld modules of rank one. In this thesis we give detailed survey of explicit class field theory for rational function fields over finite fields, and of the fundamental results needed to master this topic.
3

On Special Values of Pellarin’s L-series

Perkins, Rudolph Bronson January 2013 (has links)
No description available.

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