On a variance associated with the distribution of primes in arithmetic progressions |
| |
| Authors: | Vaughan R. C. |
| |
| Affiliation: | Department of Mathematics, McAllister Building, Pennsylvania State University University Park, PA 16802, USA; e-mail: rvaughan{at}math.psu.edu |
| |
| Abstract: | As is usual in prime number theory, write  It is well known that when q is close to x the averagevalue of  is about xlog q,and recently Friedlander and Goldston have shown that if  then the first moment of V(x,q)-U(x,q)is small. In this memoir it is shown that the same is true forall moments. 2000 Mathematics Subject Classification: 11N13. |
| |
| Keywords: | prime numbers in arithmetic progressions |
| 本文献已被 Oxford 等数据库收录！ |
|
