Work

An explicit power-saving bound for Sárközy's Theorem on shifted primes, assuming GRH

Year: 2026

Type: preprint

Abstract: Assume the Generalised Riemann Hypothesis. If $A\subseteq \{1,...,N\}$ contains no two elements differing by $p+1$, $p$ prime, then $|A|\ll N^{\frac{89}{90} + o(1)}$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.14471

Authors: Gu, Qijun, Nguyên, Minh Quang

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: University of Cambridge, Division of Mathematical Sciences

OpenAlex ID: W7213282246

Cites: 3

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Related to: 10