{"docId":1318,"paperId":1318,"url":"https:\/\/hrj.episciences.org\/1318","doi":"10.46298\/hrj.2014.1318","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":50,"name":"Volume 37 - 2014"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01220304","repositoryVersion":1,"repositoryLink":"https:\/\/hal.science\/hal-01220304v1","dateSubmitted":"2015-10-30 09:41:55","dateAccepted":"2015-10-30 09:41:55","datePublished":"2014-01-01 08:00:00","titles":{"en":"New developments on the twin prime problem and generalizations"},"authors":["Murty, M. Ram"],"abstracts":{"en":"We give a short survey of some recent remarkable advances on the twin prime problem. Beginning with the breakthrough work of Zhang in May 2013, we trace the developments culminating in the work of Maynard and Tao in November 2013 that led to simplifications and numerical improvements of Zhang's work."},"keywords":[["level of distribution"],["sieve theory"],["twin primes"],"[MATH] Mathematics [math]","[MATH.MATH-NT] Mathematics [math]\/Number Theory [math.NT]"]}