English

On Means of Near Continued Fractions

Number Theory 2023-09-06 v2

Abstract

In this work, we present continued fractions for the arithmetic, geometric, harmonic and cotangent means of [a0,a1,,ak][a_0,a_1,\dots,a_k] and [a0,a1,,ak,ak+1][a_0,a_1,\dots,a_k,a_{k+1}], and some of their applications.

Keywords

Cite

@article{arxiv.2005.07181,
  title  = {On Means of Near Continued Fractions},
  author = {Thomás Jung Spier},
  journal= {arXiv preprint arXiv:2005.07181},
  year   = {2023}
}