Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	栗慧曦讲师，南开大学
Inviter:	王标
Title:	Some discussions on the Goldbach conjecture
Language:	Chinese
Time & Venue:	2023.06.20 11:00-12:00 N212
Abstract:	As of June 2023, a search for the term "Goldbach" in the MathSciNet database reveals over 550 papers containing the term, and searching for articles classified under the Mathematics Subject Classification code "11P32: Goldbach-type theorems; other additive questions involving primes" as the primary code yields over 800 papers. This talk provides an overview of the research on the Goldbach conjecture, focusing on three main categories of results. Firstly, we discuss weaker versions of the Goldbach conjecture. Secondly, we explore sufficient conditions of the conjecture. Lastly, we investigate results that are similar in nature to the Goldbach conjecture. Additionally, we examine the relationship between the Goldbach conjecture and other well-known conjectures such as the twin prime conjecture and the Riemann hypothesis.