Addenda/Corrigenda: Fixed Points and Two-cycles of the Discrete Logarithm

dc.creatorHolden, Joshua
dc.date2002-08-04
dc.date2002-11-18
dc.date.accessioned2026-07-07T04:50:02Z
dc.date.available2026-07-07T04:50:02Z
dc.descriptionThe abstract of the original paper was as follows: We explore some questions related to one of Brizolis: does every prime p have a pair (g,h) such that h is a fixed point for the discrete logarithm with base g? We extend this question to ask about not only fixed points but also two-cycles. Campbell and Pomerance have not only answered the fixed point question for sufficiently large p but have also rigorously estimated the number of such pairs given certain conditions on g and h. We attempt to give heuristics for similar estimates given other conditions on g and h and also in the case of two-cycles. These heuristics are well-supported by the data we have collected, and seem suitable for conversion into rigorous estimates in the future.
dc.description6 pages. This report consists of additions and corrections to the Author's paper (http://link.springer-ny.com/link/service/series/0558/bibs/2369/23690405.htm) which appeared in the proceedings of the ANTS V conference. The work described here was presented at the conference itself, which took place after the original paper was published. Version 2: more typos in the original found and corrected
dc.identifierhttps://arxiv.org/abs/math/0208028
dc.identifierhttp://arxiv.org/abs/math/0208028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64656
dc.subjectNumber Theory
dc.titleAddenda/Corrigenda: Fixed Points and Two-cycles of the Discrete Logarithm
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