2 citations · 4 across the 5 of their papers we have counts for
6 papers
The Ubiquity of Sidon Sets That Are Not
Kathryn E. Hare, L. Thomas Ramsey
We prove that every infinite, discrete abelian group admits a pair of sets whose union is not . In particular, this implies that every such group contains a Sidon set th…
The Relationship between -Kronecker and Sidon Sets
Kathryn Hare, L. Thomas Ramsey
A subset of a discrete abelian group is called -Kronecker if all -functions of modulus one can be approximated to within by characters. is called a Sidon set if a…
Exact Kronecker Constants of Three Element Sets
Kathryn E. Hare, L. Thomas Ramsey
For any three element set of positive integers, , with , sufficiently large and , we find the least such that given any real numbers , $…
Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers
L. Thomas Ramsey, Kathryn E. Hare
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…
Maximum-Likelihood Non-Decreasing Response Estimates
Laurence Thomas Ramsey
Let , , , be observations from a doubly-indexed sequence of independent random variables (all of them discrete, or all of the…
Permutation and extension for planar quasi-independent subsets of the roots of unity
L. Thomas Ramsey, Colin C. Graham
Let $e^{2πi\Q}$ denote the set of roots of unity. We consider subsets $E\subset e^{2πi\Q}$ that are quasi-independent or algebraically independent (as subsets of the discrete plane…