Distribution of the Error in Estimated Numbers of Fixed Points of the Discrete Logarithm

dc.creatorHolden, Joshua
dc.date2004-01-03
dc.date2004-12-19
dc.date.accessioned2026-07-07T06:26:45Z
dc.date.available2026-07-07T06:26:45Z
dc.descriptionBrizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for the discrete logarithm with base g? The author and Pieter Moree, building on work of Zhang, Cobeli, and Zaharescu, gave heuristics for estimating the number of such pairs and proved bounds on the error in the estimates. These bounds are not descriptive of the true situation, however, and this paper is a first attempt to collect and analyze some data on the distribution of the actual error in the estimates.
dc.description8 pages, 3 figures, to appear in Communications in Computer Algebra
dc.identifierhttps://arxiv.org/abs/math/0401014
dc.identifierhttp://arxiv.org/abs/math/0401014
dc.identifierCommunications in Computer Algebra, 38: 111-118, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97207
dc.subjectNumber Theory
dc.subject11A07 (Primary) 11-04 (Secondary)
dc.titleDistribution of the Error in Estimated Numbers of Fixed Points of the Discrete Logarithm
dc.typetext

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