Bombieri-type theorems for exponential sums over primes in short intervals and its application |
| |
| Authors: | Yanjun Yao |
| |
| Affiliation: | 1.School of Mathematical Sciences,Shanxi University,Taiyuan,China |
| |
| Abstract: | We treat the estimate of mean value of exponential sums over primes in short intervals and obtain the related Bombieri-type theorems, which generalize the result of Liu and Zhan (Acta Arith LXXXII(3):197–227, 1997). Moreover, we present some application to the distribution of primes in the ternary quadratic form in short intervals. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
