English

A variation on the theme of Nicomachus

Number Theory 2018-05-30 v1 Classical Analysis and ODEs

Abstract

We prove some conjectures of K. Stolarsky concerning the first and third moment of the Beatty sequences with the golden section and its square.

Keywords

Cite

@article{arxiv.1707.09477,
  title  = {A variation on the theme of Nicomachus},
  author = {Florian Luca and Geremías Polanco and Wadim Zudilin},
  journal= {arXiv preprint arXiv:1707.09477},
  year   = {2018}
}

Comments

7 pages