Maksym Radziwill

activity

20112024

most citedA note on the Liouville function in short intervals

18 citations · 31 across the 12 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.NT2015

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…

math.NT2015★ 18 cited

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 $δ > 0$ , $\sum_{x \leq n \leq x + x^{δ}} λ (n) = o (x^{δ})$ for almost all $x \in [X, 2 X]$ . We also sketch a proof of a g…