Zhi-Wei Sun's 1-3-5 conjecture and variations

• Type: Article in International Scientific Journal
• Date: 2021

Authors

António Machiavelo (Author) FCUP; Tsopanidis, N (Author) Other

Journal

Title: Journal of Number Theory

Vol. 222

Pages: 1-20

ISSN: 0022-314X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00T-7XE

DOI: 10.1016/j.jnt.2020.10.001

Abstract (EN): In this paper, using quaternion arithmetic in the ring of Lipschitz integers, we present a proof of Zhi-Wei Sun's "1-3-5 conjecture" for all integers, and reduce the general case to its verification up to 1.052 x 10(11). The computational verification was performed by the authors and a colleague, concluding the proof of Sun's 1-3-5 conjecture. We also establish some variations of this conjecture.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20