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math.NT2021★ 1 cited
Covering systems with odd moduli
Joshua Harrington, Yewen Sun, Wing Hong Tony Wong
The concept of a covering system was first introduced by Erdős in 1950. Since their introduction, a lot of the research regarding covering systems has focused on the existence of c…
math.NT2020
On binomial coefficients associated with Sierpiński and Riesel numbers
Ashley Armbruster, Grace Barger, Sofya Bykova +5
In this paper, we investigate the existence of Sierpiński numbers and Riesel numbers as binomial coefficients. We show that for any odd positive integer , there exist infinitely…