English

Memoir on Divisibility Sequences

Number Theory 2022-04-27 v4

Abstract

The purpose of this memoir is to discuss two very interesting properties of integer sequences. One is the law of apparition and the other is the law of repetition. Both have been extensively studied by mathematicians such as Ward, Lucas, Lehmer, Hall, etc. However, due to the lack of a proper survey in this area, many results have been rediscovered many decades later. This along with the necessity of the usefulness of such theory calls for a survey on this topic.

Keywords

Cite

@article{arxiv.1501.00609,
  title  = {Memoir on Divisibility Sequences},
  author = {Masum Billal},
  journal= {arXiv preprint arXiv:1501.00609},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-22T07:50:04.190Z