3 papers
math.NT2025
A further investigation on covering systems with odd moduli
Chris Bispels, Matthew Cohen, Joshua Harrington +4
Erdős first introduced the idea of covering systems in 1950. Since then, much of the work in this area has concentrated on identifying covering systems that meet specific condition…
math.NT2025
On Sierpiński and Riesel Repdigits and Repintegers
Chris Bispels, Matthew Cohen, Joshua Harrington +4
For positive integers , , and , we say that an integer is a -repdigit if can be expressed as the digit repeated times in base-$b…
math.GT2025
Constructions of and Bounds on the Toric Mosaic Number
Kendall Heiney, Margaret Kipe, Samantha Pezzimenti +2
Knot mosaics were introduced by Kauffman and Lomonaco in the context of quantum knots, but have since been studied for their own right. A classical knot mosaic is formed on a squar…