7 citations · 15 across the 6 of their papers we have counts for
8 papers
Omega results for cubic field counts via lower-order terms in the one-level density
Peter J. Cho, Daniel Fiorilli, Yoonbok Lee +1
In this paper we obtain a precise formula for the -level density of -functions attached to non-Galois cubic Dedekind zeta functions. We find a secondary term which is unique…
Analytic ranks of elliptic curves over number fields
Peter J. Cho
Let be an elliptic curve over . Then, we show that the average analytic rank of over cyclic extensions of degree over with a prime not equa…
On the distribution of analytic ranks of elliptic curves
Peter J. Cho, Keunyoung Jeong
In this paper, under GRH for elliptic -functions, we give an upper bound for the probability for an elliptic curve with analytic rank for , and also give an…
Simple zeros of automorphic -functions
Andrew R. Booker, Peter J. Cho, Myoungil Kim
We prove that the complete -function associated to any cuspidal automorphic representation of has infinitely many simple zeros.
Low-lying zeros of cubic Dirichlet -functions and the Ratios Conjecture
Peter J. Cho, Jeongho Park
We compute the one-level density for the family of cubic Dirichlet -functions when the support of the Fourier transform of a test function is in . We also establish the…
Extreme residues of Dedekind zeta functions
Peter J. Cho, Henry H. Kim
In a family of -fields (), we obtain the true upper and lower bound of the residues of Dedekind zeta functions except for a density zero set. For -fields, we…