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Some special property of Farey sequence

Number Theory 2020-12-09 v1

Abstract

We discuss some special property of the Farey sequence. We show in each term of the Farey sequence, ratio of the sum of elements in the denominator and the sum of elements in the numerator is exactly two. We also show that the Farey sequence contains a palindromic structure.

Keywords

Cite

@article{arxiv.1811.02768,
  title  = {Some special property of Farey sequence},
  author = {Ripan Saha},
  journal= {arXiv preprint arXiv:1811.02768},
  year   = {2020}
}

Comments

5 pages, Comments are welcome