Peter J. Cho

activity

20152020

most citedOn the distribution of analytic ranks of elliptic curves

3 citations · 3 across the 1 of their papers we have counts for

collaborators

4 papers

math.NT2020★ 3 cited

On the distribution of analytic ranks of elliptic curves

Peter J. Cho, Keunyoung Jeong

In this paper, under GRH for elliptic $L$ -functions, we give an upper bound for the probability for an elliptic curve with analytic rank $\leq a$ for $a \geq 11$ , and also give an…

math.NT2018

Simple zeros of automorphic $L$ -functions

Andrew R. Booker, Peter J. Cho, Myoungil Kim

We prove that the complete $L$ -function associated to any cuspidal automorphic representation of $G L_{2} (A_{Q})$ has infinitely many simple zeros.

math.NT2018

Low-lying zeros of cubic Dirichlet $L$ -functions and the Ratios Conjecture

Peter J. Cho, Jeongho Park

We compute the one-level density for the family of cubic Dirichlet $L$ -functions when the support of the Fourier transform of a test function is in $(- 1, 1)$ . We also establish the…

math.NT2015

Central limit theorem for Artin $L$ -functions

Peter J. Cho, Henry H. Kim

We show that the sum of the traces of Frobenius elements of Artin $L$ -functions in a family of $G$ -fields satisfies the Gaussian distribution under certain counting conjectures. We…

On the distribution of analytic ranks of elliptic curves

Simple zeros of automorphic L-functions

Low-lying zeros of cubic Dirichlet L-functions and the Ratios Conjecture

Central limit theorem for Artin L-functions

Simple zeros of automorphic $L$ -functions

Low-lying zeros of cubic Dirichlet $L$ -functions and the Ratios Conjecture

Central limit theorem for Artin $L$ -functions