English

Repeated concatenations in residue classes

Number Theory 2021-09-07 v1

Abstract

We give an algorithm to determine all the repeated concatenations, in a given base, of a natural number in a residue class. The author recently describes a particular sequence of vv-palindromes that inspires this investigation. We also generalize this sequence and discuss how there could be variations of the investigation we do in this paper.

Keywords

Cite

@article{arxiv.2109.01798,
  title  = {Repeated concatenations in residue classes},
  author = {Daniel Tsai},
  journal= {arXiv preprint arXiv:2109.01798},
  year   = {2021}
}

Comments

10 pages; comments welcome

R2 v1 2026-06-24T05:40:40.940Z