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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…
math.NT2020
On the properties of fibotomic polynomials
Cameron Byer, Tyler Dvorachek, Emily Eckard +3
Define the -th fibotomic polynomial to be the product of the monic irredicible factors of the -th Fibonacci polynomial which are not factors of any Fibonacci polynomial of sm…
math.CO2020★ 6 cited
Sum index and difference index of graphs
Joshua Harrington, Eugene Henninger-Voss, Kedjar Karhadkar +2
Let be a nonempty simple graph with a vertex set and an edge set . For every injective vertex labeling , there are two induced edge labelings,…