Maksym Radziwill

activity

20112021

most citedA note on the Liouville function in short intervals

18 citations · 31 across the 10 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.NT2012★ 1 cited

Simple zeros of primitive Dirichlet $L$ -functions and the asymptotic large sieve

Vorrapan Chandee, Yoonbok Lee, Sheng-chi Liu +1

Assuming the Generalized Riemann Hypothesis (GRH), we show using the asymptotic large sieve that 91% of the zeros of primitive Dirichlet $L$ -functions are simple. This improves on…

math.NT2012★ 3 cited

The Riemann-zeta function on vertical arithmetic progressions

Xiannan Li, Maksym Radziwill

We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic progression $1/2 + i (an + b)$ with $a > 0$ , $b$ real, exhibits a remarkable corres…

math.NT2012

Limitations to mollifying $ζ (s)$

Maksym Radziwill

We establish limitations to how well one can mollify the Riemann zeta-function on the critical line with mollifiers of arbitrary length. Our result gives a non-trivial lower bound…

Simple zeros of primitive Dirichlet L-functions and the asymptotic large sieve

The Riemann-zeta function on vertical arithmetic progressions

Limitations to mollifying ζ(s)

Simple zeros of primitive Dirichlet $L$ -functions and the asymptotic large sieve

Limitations to mollifying $ζ (s)$