4 papers
Effective Brauer-Siegel theorems for Artin -functions
Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman
Given a number field , in a now classic work, Stark pinpointed the possible source of a so-called Landau-Siegel zero of the Dedekind zeta function and…
The least prime with a given cycle type
Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman
Let be a finite group. Let be a Galois extension of number fields with Galois group isomorphic to , and let be a conjugacy inv…
The -polynomial of hyperelliptic function fields and its applications
Peter Jaehyun Cho, Jinjoo Yoo
Let be an odd prime, an odd prime power such that , and the order of in $\F_\ell^\times$. We propose an explicit -polynomial of hyp…
The average analytic rank of elliptic curves with prescribed level structure
Peter J. Cho, Keunyoung Jeong, Junyeong Park
Assuming the Hasse--Weil conjecture and the generalized Riemann hypothesis for the -functions of the elliptic curve, we give an upper bound of the average analytic rank of ellip…