Ethan Simpson Lee

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20202026

most citedUnconditional Explicit Mertens' Theorems for Number Fields and Dedekind Zeta Residue Bounds

9 citations · 9 across the 7 of their papers we have counts for

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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★ 9 cited

Unconditional Explicit Mertens' Theorems for Number Fields and Dedekind Zeta Residue Bounds

Stephan Ramon Garcia, Ethan Simpson Lee

We obtain unconditional, effective number-field analogues of the three Mertens' theorems, all with explicit constants and valid for $x \geq 2$ . Our error terms are explicitly bounde…

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.