Analysis seminar

Tom Ramsey, University of Hawaii

“Kronecker Constants”

Recent progress will be described, with a focus on exact constants for finite sets of integers. There is now a complete analysis of integer sets where successive terms grow by a constant ratio. There are also interesting and close upper and lower bounds for the Kronecker constants of initial segments of the positive integers. A complete analysis for triples of integers remains out of reach, but significant progress has been made.