A. Ledoan

activity

20082023

most citedZeros of partial sums of the Riemann zeta-function

7 citations · 7 across the 8 of their papers we have counts for

collaborators

10 papers

math.NT2023

The error term in counting prime pairs

Leon Chou, Summer Haag, Jake Huryn +1

We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of prime pairs to the $L^{1}$ norm of an exponential sum over the primes formed with…

math.PR2021

The complex zeros of random orthogonal polynomials

Christopher Corley, Andrew Ledoan, Aaron Yeager

We utilize Cauchy's argument principle in combination with the Jacobian of a holomorphic function in several complex variables and the first moment of a ratio of two correlated com…

math.PR2020

The level crossings of random sums

Christopher Corley, Andrew Ledoan

Let ${η_{j}}_{j = 0}^{N}$ be a sequence of independent and identically distributed complex normal random variables with mean zero and variances ${σ_{j}^{2}}_{j = 0}^{N}$ . Let $…

math.PR2019

The density of complex zeros of random sums

Christopher Corley, Andrew Ledoan

Let ${η_{j}}_{j = 0}^{N}$ be a sequence of independent, identically distributed random complex Gaussian variables, and let ${f_{j} (z)}_{j = 0}^{N}$ be a sequence of given anal…

math.NT2019

Linnik's large sieve and the $L^{1}$ norm of exponential sums

Emily Eckels, Steven Jin, Andrew Ledoan +1

The method of proof of Balog and Ruzsa and the large sieve of Linnik are used to investigate the behaviour of the $L^{1}$ norm of a wide class of exponential sums over the square-f…

math.NT2018

Distribution of Large Gaps Between Primes

Scott Funkhouser, Daniel A. Goldston, Andrew H. Ledoan

We survey some past conditional results on the distribution of large differences between consecutive primes and examine how the Hardy-Littlewood prime k-tuples conjecture can be ap…