English

Variants of Base 3 over 2

Number Theory 2019-01-29 v1

Abstract

We discuss two different systems of number representations that both can be called 'base 3/2'. We explain how they are connected. Unlike classical fractional extension, these two systems provide a finite representation for integers. We also discuss a connection between these systems and 3-free sequences.

Cite

@article{arxiv.1901.09818,
  title  = {Variants of Base 3 over 2},
  author = {Matvey Borodin and Hannah Han and Kaylee Ji and Tanya Khovanova and Alexander Peng and David Sun and Isabel Tu and Jason Yang and William Yang and Kevin Zhang and Kevin Zhao},
  journal= {arXiv preprint arXiv:1901.09818},
  year   = {2019}
}

Comments

16 pages, 2 figures

R2 v1 2026-06-23T07:24:22.555Z