On Chen’s Theorem

2002 ◽  
pp. 99-119 ◽  
Author(s):  
Yingchun Cai ◽  
Minggao Lu
Keyword(s):  
Chen’S Theorem

scholarly journals Chen's theorem in short intervals

1999 ◽  
Vol 91 (4) ◽  
pp. 311-323 ◽  
Author(s):  
Ying Cai ◽  
Ming Lu
Keyword(s):  
Short Intervals ◽  
Chen’S Theorem

scholarly journals A REMARK ON CHEN'S THEOREM WITH SMALL PRIMES

2015 ◽  
Vol 19 (4) ◽  
pp. 1183-1202
Author(s):  
Yingchun Cai
Keyword(s):  
Chen’S Theorem

Chen’s theorem

1996 ◽  
pp. 271-298
Author(s):  
Melvyn B. Nathanson
Keyword(s):  
Chen’S Theorem

Almost prime triples and Chen’s theorem

2017 ◽  
Vol 179 (3) ◽  
pp. 233-250
Author(s):  
Yingchun Cai
Keyword(s):  
Chen’S Theorem ◽  
Almost Prime

scholarly journals Chen Jingrun, China's famous mathematician: devastated by brain injuries on the doorstep to solving a fundamental mathematical puzzle

2016 ◽  
Vol 41 (1) ◽  
pp. E11
Author(s):  
Ting Lei ◽  
Evgenii Belykh ◽  
Alexander B. Dru ◽  
Kaan Yagmurlu ◽  
Ali M. Elhadi ◽  
...  
Keyword(s):  
Number Theory ◽  
Cultural Revolution ◽  
Brain Injuries ◽  
Political Repression ◽  
Brain Concussion ◽  
Chinese Youth ◽  
Chen’S Theorem ◽  
Goldbach’S Conjecture ◽  
Final Work ◽  
Goldbach's Conjecture

Chen Jingrun (1933–1996), perhaps the most prodigious mathematician of his time, focused on the field of analytical number theory. His work on Waring's problem, Legendre's conjecture, and Goldbach's conjecture led to progress in analytical number theory in the form of “Chen's Theorem,” which he published in 1966 and 1973. His early life was ravaged by the Second Sino-Japanese War and the Chinese Cultural Revolution. On the verge of solving Goldbach's conjecture in 1984, Chen was struck by a bicyclist while also bicycling and suffered severe brain trauma. During his hospitalization, he was also found to have Parkinson's disease. Chen suffered another serious brain concussion after a fall only a few months after recovering from the bicycle crash. With significant deficits, he remained hospitalized for several years without making progress while receiving modern Western medical therapies. In 1988 traditional Chinese medicine experts were called in to assist with his treatment. After a year of acupuncture and oxygen therapy, Chen could control his basic bowel and bladder functions, he could walk slowly, and his swallowing and speech improved. When Chen was unable to produce complex work or finish his final work on Goldbach's conjecture, his mathematical pursuits were taken up vigorously by his dedicated students. He was able to publish Youth Math, a mathematics book that became an inspiration in Chinese education. Although he died in 1996 at the age of 63 after surviving brutal political repression, being deprived of neurological function at the very peak of his genius, and having to be supported by his wife, Chen ironically became a symbol of dedication, perseverance, and motivation to his students and associates, to Chinese youth, to a nation, and to mathematicians and scientists worldwide.

A remark on Chen’s theorem (II)

2008 ◽  
Vol 29 (6) ◽  
pp. 687-698 ◽  
Author(s):  
Yingchun Cai
Keyword(s):  
Chen’S Theorem

scholarly journals The Khinchin inequality and Chen’s theorem

2012 ◽  
Vol 23 (4) ◽  
pp. 761-778 ◽  
Author(s):  
M. M. Skriganov
Keyword(s):  
Chen’S Theorem
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