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math.FA2020
Conglomerated filters, statistical measures, and representations by ultrafilters
Vladimir Kadets, Dmytro Seliutin
Using a new concept of conglomerated filter we demonstrate in a purely combinatorial way that none of Erdös-Ulam filters or summable filters can be generated by a single statistica…
math.NT2020
Carmichael numbers for
Eugene Karolinsky, Dmytro Seliutin
We propose a generalization of Carmichael numbers, where the multiplicative group is replaced by for . We prove ba…