These book consists of two (i) A detailed introduction by the editor to provide a full exposition on the developments of the study of Goldbach conjecture, including a complete reference. (ii) A collection of original papers on Goldbach Conjecture and is intended for graduate students and researchers in analytic number theory who have an understanding of basic elementary number theory and the theory of the distribution of prime numbers. The basic methods for treating Goldbach Conjecture are the circle method of Hardy and Littlewood and the sieve method of Brun. This book contains papers with originalities and important progresses on these two methods and all the papers in Chinese, French, German and Russian have been translated into English.
Prof. Yuan Wang graduated from the Mathematics Department, Zhejiang University, China in 1952, and since then he has been with the Institute of Mathematics of the Chinese Academy of Sciences (CAS), and was elected as an academician of the CAS in 1980. His research field is analytic number theory especially the Goldbach conjecture, Diophantine analysis, number theoretic method in numerical analysis and statistics, and has published twelve books and more than eighty papers. He is also the author of a biography of the legendary Chinese mathematician Hua Loo-Keng and many popular mathematics works. He was formerly Director of the Institute of Mathematics of the CAS and President of the Chinese Mathematical Society.