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Asymptotics of class number and genus for abelian extensions of an algebraic function field

dc.contributor.advisorWright, David
dc.contributor.authorWard, Kenneth
dc.date.accessioned2013-11-26T08:25:54Z
dc.date.available2013-11-26T08:25:54Z
dc.date.issued2012-05
dc.identifier.urihttps://hdl.handle.net/11244/6834
dc.description.abstractAmong abelian extensions of a congruence function field, an asymptotic relation of class number and genus is established. The proof is completely classical, employing well-known results from congruence function field theory.
dc.formatapplication/pdf
dc.languageen_US
dc.rightsCopyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material.
dc.titleAsymptotics of class number and genus for abelian extensions of an algebraic function field
dc.contributor.committeeMemberKable, Anthony
dc.contributor.committeeMemberGhosh, Amit
dc.contributor.committeeMemberNandi, Satyanarayan
osu.filenameWard_okstate_0664D_11949.pdf
osu.accesstypeOpen Access
dc.type.genreDissertation
dc.type.materialText
dc.subject.keywordsabelian
dc.subject.keywordsasymptotic
dc.subject.keywordsclass field theory
dc.subject.keywordsclass number
dc.subject.keywordsfunction field
dc.subject.keywordsgenus
thesis.degree.disciplinePure Mathematics
thesis.degree.grantorOklahoma State University


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