Author

O. Klurman

3 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Open access Aug 2024

Zeros of L-functions and large partial sums of Dirichlet coefficients

Let L(s,π)=∑n=1∞λπ(n)n-s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L(s,\pi )=\sum _{n=1}^{\infty }\lambda _{\pi }(n)n^{-s}$$\end{docu...

Bryce Kerr, O. Klurman, Jesse Thorner · Mathematische Annalen · 1 citation

Open access Apr 2023

On Elliott's conjecture and applications

Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$ , the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equ...

O. Klurman, Alexander P. Mangerel, Joni Teravainen · Proceedings of the London Ma... · 10 citations · ⚡5

Open access Sep 2026

On Elliott's conjecture and applications

Let be a multiplicative function. Under the merely necessary assumption that is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts , the two‐point correlation tends to 0 along a set of of full upper logarithmic density. We also show that the same re...

O. Klurman, Alexander P. Mangerel, Joni Teräväinen · Proceedings of the London Ma... · 0 citations