Work

Exponential sums over primes

Year: 2026

Type: preprint

Abstract: Let $α=a/q+ε$ with $(a,q)=1$, $q\le N^{1/2}$ and $|ε|\le 1/(qN^{1/2})$, and let $B:=\max(q,qN|ε|)$. We show that \[ \Bigl|\sum_{n

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.14777

Authors: Maynard, James, Pandey, Mayank, Radziwiłł, Maksym

Institutions: University of Oxford, Courant Institute of Mathematical Sciences

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, European Commission

Award: Analytic Number Theory at the Interface

OpenAlex ID: W7203661647

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