2 papers
math.NT2020
An effective analytic formula for the number of distinct irreducible factors of a polynomial
Stephan Ramon Garcia, Ethan Simpson Lee, Josh Suh +1
We obtain an effective analytic formula, with explicit constants, for the number of distinct irreducible factors of a polynomial . We use an explicit version o…
math.NT2020
Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples
Stephan Ramon Garcia, Gabe Udell, Jiahui Yu
Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This…