activity
20052026
most citedDistribution of values of -functions at the edge of the critical strip

27 citations · 46 across the 33 of their papers we have counts for

collaborators

51 papers

math.NT2026

A new proof that more than of the zeros of the Riemann zeta function are simple and on the critical line

Youness Lamzouri

We obtain a new, conceptually simpler, unconditional proof that more than of the non-trivial zeros of the Riemann zeta function are simple and on the critical line, and t…

math.NT2026

A note on large values of Dirichlet -functions for characters of fixed order at

Youness Lamzouri

In this note, we use a simple argument to show the existence of large values of conjecturally sharp size for Dirichlet -functions attached to primitive characters of fixed order…

math.NT2026

Sharp omega results for the divisor and circle problems

Youness Lamzouri

We establish omega results for the divisor and circle problems that are conjecturally sharp, while also determining the sign of the large values obtained. This improves on the work…

math.NT2026

Large values of exponential sums with multiplicative coefficients

Andrew Granville, Youness Lamzouri

In 1977 Montgomery and Vaughan gave tight bounds for exponential sums of the form where is a -bounded multiplicative function and ,…

math.NT2026

An omega result for the least negative Hecke eigenvalue

Youness Lamzouri

We establish the existence of many holomorphic Hecke eigenforms of large weight for the full modular group, for which the least positive integer such that $λ_f(n_f)<0…

math.NT2025

Erdős's integer dilation approximation problem and GCD graphs

Dimitris Koukoulopoulos, Youness Lamzouri, Jared Duker Lichtman

Let be a countable set such that . We prove that, for ev…