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math.CO2012
Subsets of finite groups exhibiting additive regularity
Robert S. Coulter, Todd Gutekunst
In this article we aim to develop from first principles a theory of sum sets and partial sum sets, which are defined analogously to difference sets and partial difference sets. We…
math.CO2012
On the number of distinct values of a class of functions with finite domain
Robert Coulter, Steven Senger
By relating the number of images of a function with finite domain to a certain parameter, we obtain both an upper and lower bound for the image set. Even though the arguments are e…