Work

$6$ powers of $2$ in the Linnik--Goldbach problem

Year: 2026

Type: preprint

Abstract: Linnik's approximation to Goldbach's conjecture concerns the representation of sufficiently large even integers as the sum of two primes and a bounded number of powers of two. We prove that $6$ powers of $2$ suffice unconditionally and that $5$ suffice under the GRH, improving previous works.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15784

Authors: Li, Huixi, Liu, Zhixin

Institutions: Nankai University, Tianjin University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Tianjin University

Award: G8974978213

OpenAlex ID: W7221768056

Cites:

Cited by:

Related to: 10