English

Transformation formulas of finite sums into continued fractions

Number Theory 2020-06-18 v3

Abstract

We state and prove three general formulas allowing to transform formal finite sums into formal continued fractions and apply them to generalize certain expansions in continued fractions given by Hone and Varona.

Keywords

Cite

@article{arxiv.1912.12565,
  title  = {Transformation formulas of finite sums into continued fractions},
  author = {Daniel Duverney and Takeshi Kurosawa and Iekata Shiokawa},
  journal= {arXiv preprint arXiv:1912.12565},
  year   = {2020}
}

Comments

11 pages