2 papers
math.NT2005
Sieving by large integers and covering systems of congruences
Michael Filaseta, Kevin Ford, Sergei Konyagin +2
An old question of Erdos asks if there exists, for each number N, a finite set S of integers greater than N and residue classes r(n) mod n for n in S whose union is all the integer…
math.NT2004
On the irreducibility of a truncated binomial expansion
Michael Filaseta, Angel Kumchev, Dmitrii V. Pasechnik
Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it.…