Multiplicative and dynamical analysis on idèles and idèle class groups

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dc.contributor.advisorVaaler, Jeffrey D.
dc.contributor.advisorCiperiani, Mirela, 1976-
dc.contributor.committeeMemberMohammadi, Amir
dc.contributor.committeeMemberAllcock, Daniel
dc.contributor.committeeMemberSinclair, Christopher
dc.contributor.committeeMemberWidmer, Martin
dc.creatorHughes, Adam Miles
dc.date.accessioned2016-09-14T18:50:13Z
dc.date.accessioned2018-01-22T22:30:36Z
dc.date.available2016-09-14T18:50:13Z
dc.date.available2018-01-22T22:30:36Z
dc.date.issued2016-05
dc.date.submittedMay 2016
dc.date.updated2016-09-14T18:50:13Z
dc.description.abstractWe prove an extension of a result due to Allcock and Vaaler from 2009. In the main theorem we show that an idèle group associated to Q-bar is naturally dense in a Banach algebra normed by the Weil height. We establish bounds for the dynamics of generic idèlic points of a field modulo the diagonally-embedded multiplicative groups of the associated fields.
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdf
dc.identifierdoi:10.15781/T2RN3081N
dc.identifier.urihttp://hdl.handle.net/2152/40316
dc.language.isoen
dc.subjectBanach
dc.subjectAlgebra
dc.subjectNumber theory
dc.subjectIdèle
dc.subjectMutliplicative
dc.subjectDiophantine
dc.subjectApproximation
dc.subjectAlgebraic
dc.subjectDynamical
dc.subjectAnalytic
dc.titleMultiplicative and dynamical analysis on idèles and idèle class groups
dc.typeThesis
dc.type.materialtext

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