Maksym Radziwill

activity

20112026

most citedA note on the Liouville function in short intervals

18 citations · 31 across the 21 of their papers we have counts for

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2 papers · 1 filter

math.NT2026

Exponential sums over primes

James Maynard, Mayank Pandey, Maksym Radziwiłł

Let $α = a / q + ε$ with $(a, q) = 1$ , $q \leq N^{1/2}$ and $∣ ε ∣ \leq 1/ (q N^{1/2})$ , and let $B := max (q, q N ∣ ε ∣)$ . We show that \[ \Bigl|\sum_{n<N}Λ(n)e(nα)\Bigr|\le N^{o(1)}\Bigl(\frac{N}{B^{1/2…

math.NT2026

Sign changes of the Liouville function in arithmetic progressions

Kevin Ford, Maksym Radziwiłł

We show that for any $ε > 0$ , prime $q$ sufficiently large with respect to $1/ ε$ and residue class $(a, q) = 1$ , there exist two integers $m, n \leq q^{5/2 + \…