3 papers
math.NT2018
Almost-prime values of reducible polynomials at prime arguments
C. S. Franze, P. H. Kao
We adopt A. J. Irving's sieve method to study the almost-prime values produced by products of irreducible polynomials evaluated at prime arguments. This generalizes the previous re…
math.NT2016
Almost-Prime Polynomials with Prime Arguments
Pin-Hung Kao
We improve Irving's method of the double-sieve by using the DHR sieve. By extending the upper and lower sieve functions into their respective non-elementary ranges, we are able to…
math.AG2012
Betti Tables of Reducible Algebraic Curves
David J. Bruce, Pin-Hung Kao, Evan D. Nash +2
We study the Betti tables of reducible algebraic curves with a focus on connected line arrangements and provide a general formula for computing the quadratic strand of the Betti ta…