Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers
Functional Analysis
2011-08-22 v2
Abstract
Various upper and lower bounds are provided for the (angular) Kronecker constants of sets of integers. Some examples are provided where the bounds are attained. It is proved that 5=16 bounds the angular Kronecker constants of 3-element sets of positive integers. However, numerous examples suggest that the minimum upper bound is 1=4 for 3-element sets of positive integers.
Keywords
Cite
@article{arxiv.1108.3802,
title = {Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers},
author = {L. Thomas Ramsey and Kathryn E. Hare},
journal= {arXiv preprint arXiv:1108.3802},
year = {2011}
}