18 citations · 23 across the 7 of their papers we have counts for
7 papers
A note on Helson's conjecture on moments of random multiplicative functions
Adam J. Harper, Ashkan Nikeghbali, Maksym Radziwiłł
We give lower bounds for the small moments of the sum of a random multiplicative function, which improve on some results of Bondarenko and Seip and constitute further progress towa…
A note on the Liouville function in short intervals
Kaisa Matomäki, Maksym Radziwiłł
In this note we give a short and self-contained proof that, for any , for almost all . We also sketch a proof of a g…
Gaps between zeros of and the distribution of zeros of
Maksym Radziwill
We settle a conjecture of Farmer and Ki in a stronger form. Roughly speaking we show that there is a positive proportion of small gaps between consecutive zeros of the zeta-functio…
Simple zeros of primitive Dirichlet -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 -functions are simple. This improves on…
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 with , real, exhibits a remarkable corres…
Limitations to mollifying
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…