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Ullom, Stephen V. Wu, Qingquan 2015-09-28T15:20:05Z 2015-09-28T15:20:05Z 10000-01-01 2007 2007 "Above all, our work presents very explicit results, mostly stated as formulae and explicit representations, rather than algorithms. The formulae that we obtained for the ramifications and an integral basis of a cyclic biquadratic function field are simple, explicit and efficient. The computation of the unit group on a global bicyclic biquadratic function field generalizes and simplifies Kubota's work [Kub56) to function fields. It thus settles this question for all global bicyclic biquadratic extensions. The explicit construction of an integral basis of a radical function field is efficient and has a ""diagonal with denominators"" form, which is the simplest form that one can expect. This type of basis has no number field analogue." Made available in DSpace on 2015-09-28T15:20:05Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3301251.pdf: 3101074 bytes, checksum: a15ac2d590d3f568867e27451c2a7f7d (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 88178 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 112 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/86897 (MiAaPQ)AAI3301251 eng Mathematics Algorithmic Aspects of Biquadratic, Cubic and Radical Function Fields text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.