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Arithmetic of carlitz polynomialsBamunoba, Alex Samuel 12 1900 (has links)
Thesis (PhD)–Stellenbosch University, 2014. / ENGLISH ABSTRACT:
See pdf for abstract / AFRIKAANSE OPSOMMING:
Sien PDF vir die opsomming
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Explicit class field theory for rational function fieldsRakotoniaina, 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.
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On Special Values of Pellarin’s L-seriesPerkins, Rudolph Bronson January 2013 (has links)
No description available.
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