An improved sum-product bound for quaternions
Combinatorics
2021-11-11 v2
Abstract
We show that there exists an absolute constant , such that, for any finite set of quaternions, This generalizes a sum-product bound for real numbers proved by Konyagin and Shkredov.
Cite
@article{arxiv.1809.02214,
title = {An improved sum-product bound for quaternions},
author = {Abdul Basit and Ben Lund},
journal= {arXiv preprint arXiv:1809.02214},
year = {2021}
}
Comments
Appeared in SIAM J. Discrete Math. This version corrects some errors from the previous version, and clarifies the analysis