中文

补遗/勘误:离散对数的不动点与二周期点

数论 2007-05-23 v2

摘要

原论文的摘要如下:我们探讨与 Brizolis 提出的某个问题相关的一些问题:是否每个素数 p 都存在一对 (g,h),使得 h 是以 g 为底的离散对数的不动点?我们将此问题推广,不仅询问不动点,也询问二周期点。Campbell 与 Pomerance 不仅对充分大的 p 回答了不动点问题,而且在 g 和 h 满足特定条件时严格估计了此类数对的数量。我们尝试在 g 和 h 满足其他条件以及二周期点的情况下,给出类似估计的启发性方法。这些启发性方法得到了我们所收集数据的充分支持,并且似乎适合在未来转化为严格的估计。

关键词

引用

@article{arxiv.math/0208028,
  title  = {Addenda/Corrigenda: Fixed Points and Two-cycles of the Discrete Logarithm},
  author = {Joshua Holden},
  journal= {arXiv preprint arXiv:math/0208028},
  year   = {2007}
}

备注

6 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