Peter J. Cho

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math.NT2025

The least prime with a given cycle type

Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman

Let $G$ be a finite group. Let $K / k$ be a Galois extension of number fields with Galois group isomorphic to $G$ , and let $C \subseteq Gal (K / k) ≃ G$ be a conjugacy inv…

math.NT2025

The $L$ -polynomial of hyperelliptic function fields and its applications

Peter Jaehyun Cho, Jinjoo Yoo

Let $ℓ$ be an odd prime, $q$ an odd prime power such that $q \neq \equiv 0 (mod ℓ)$ , and $m$ the order of $q$ in $\F_\ell^\times$. We propose an explicit $L$ -polynomial of hyp…

math.NT2025

Effective Brauer-Siegel theorems for Artin $L$ -functions

Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman

Given a number field $K \neq = Q$ , in a now classic work, Stark pinpointed the possible source of a so-called Landau-Siegel zero of the Dedekind zeta function $ζ_{K} (s)$ and u…

The least prime with a given cycle type

The L-polynomial of hyperelliptic function fields and its applications

Effective Brauer-Siegel theorems for Artin L-functions

The $L$ -polynomial of hyperelliptic function fields and its applications

Effective Brauer-Siegel theorems for Artin $L$ -functions