The Digit Principle

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dc.creatorConrad, Keith
dc.date2000-02-03
dc.date.accessioned2026-07-07T04:33:34Z
dc.date.available2026-07-07T04:33:34Z
dc.descriptionA number of constructions in function field arithmetic involve extensions from linear objects using digit expansions. This technique is described here as a method of constructing orthonormal bases in spaces of continuous functions. We illustrate several examples of orthonormal bases from this viewpoint, and we also obtain a concrete model for the continuous functions on the integers of a local field as a quotient of a Tate algebra in countably many variables.
dc.description20 pages, 0 figures, LaTeX, to appear in Journal of Number Theory
dc.identifierhttps://arxiv.org/abs/math/0002026
dc.identifierhttp://arxiv.org/abs/math/0002026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58624
dc.subjectNumber Theory
dc.subject11S80;12J25;30G06
dc.titleThe Digit Principle
dc.typetext

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