3 papers
math.NT2026
Integer Sequences which Are Closed with Respect to Multiplication and whose Sumset does not Intersect the Sequence
Georgi Demirov, Ognian Trifonov
We investigate increasing sequences of integers with the property that the product of every two terms of the sequence is also a term of the sequence and the sum of every two terms…
math.NT2026
Covering systems where the prime divisors of all moduli are only , , or
Joshua Harrington, Jonah Klein, Joshua Lowrance +1
We try to find all quadruples of positive integers with such that there exists a distinct covering system with minimum modulus and least common mu…
math.NT2022
An upper bound for the minimum modulus in a covering system with squarefree moduli
Maria Cummings, Michael Filaseta, Ognian Trifonov
Based on work of P. Balister, B. Bollobás, R. Morris, J. Sahasrabudhe and M. Tiba, we show that if a covering system has distinct squarefree moduli, then the minimum modulus is at…