A Variation on the Theme of Nicomachus

Authors

Florian Luca, University of the Witwatersrand
Geremías Polanco, Hampshire CollegeFollow
Wadim Zudilin, Radboud Universiteit

Document Type

Article

Publication Date

3-28-2018

Publication Title

Bulletin of the Australian Mathematical Society

Abstract

In this paper, we prove some conjectures of K. Stolarsky concerning the first and third moments of the Beatty sequences with the golden section and its square.

Keywords

elliptic curves, generators, finite fields

Volume

97

First Page

367

Last Page

373

DOI

10.1017/S0004972717001411

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights

© 2018 Australian Mathematical Publishing Association Inc.

Version

Version of Record

Comments

Archived as published. Open access article.

Recommended Citation

Luca, Florian; Polanco, Geremías; and Zudilin, Wadim, "A Variation on the Theme of Nicomachus" (2018). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/156