Large sieve inequality with sparse sets of moduli applied to Goldbach conjecture  

作　　者：Claus BAUER 

机构地区：[1]Dolby Laboratories, Beijing 100020, China

出　　处：《Frontiers of Mathematics in China》2017年第2期261-280,共20页中国高等学校学术文摘·数学（英文）

摘　　要：We use the large sieve inequality with sparse sets of moduli to prove a new estimate for exponential sums over primes. Subsequently, we apply this estimate to establish new results on the binary Goldbach problem where the primes are restricted to given arithmetic Drogressions.We use the large sieve inequality with sparse sets of moduli to prove a new estimate for exponential sums over primes. Subsequently, we apply this estimate to establish new results on the binary Goldbach problem where the primes are restricted to given arithmetic Drogressions.

关 键 词：Three primes theorem exponential sums over primes sparse set ofmodules 

分 类 号：O122.3[理学—数学] O156[理学—基础数学]