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math.NT2020
Sums of Powers in Large Finite Fields: A Mix of Methods
Vitaly Bergelson, Andrew Best, Alex Iosevich
Can any element in a sufficiently large finite field be represented as a sum of two th powers in the field? In this article, we recount some of the history of this problem, touc…
math.NT2015
The emergence of 4-cycles in polynomial maps over the extended integers
Andrew Best, Patrick Dynes, Steven J. Miller +2
Let ; for each integer it is interesting to consider the number of iterates , if possible, needed to satisfy . The sets $\{α, f(α),…