Ethan Simpson Lee

collaborators

3 papers

math.NT2022

Explicit upper bounds for the number of primes simultaneously representable by any set of irreducible polynomials

Matteo Bordignon, Ethan Simpson Lee

Using an explicit version of Selberg's upper sieve, we obtain explicit upper bounds for the number of $n \leq x$ such that a non-empty set of irreducible polynomials $F_{i} (n)$ with i…

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 $f \in Z [x]$ . We use an explicit version o…

math.NT2020

Explicit Mertens' Theorems for Number Fields

Stephan Ramon Garcia, Ethan Simpson Lee

Assuming the Generalized Riemann Hypothesis we obtain uniform, effective number-field analogues of Mertens' theorems.