西安工程大学学报2016，Vol.30Issue(2)：256-261,6.DOI:10.13338/j.issn.1674-649x.2016.02.020
哥德巴赫问题中的一类奇异级数
The singular series of Goldbach problems
韩延婷1
作者信息
- 1. 华北水利水电大学数学与信息科学学院，河南郑州 450046
- 折叠
摘要
Abstract
Let k be a sufficiently large integer ,and πt (k) be the number of ways that k can be expressed as the sum of primes .Using the method of the tail of the singular series for even Goldbach problems studied by D .A .Goldston ,the tail of the singular series in an asymptotic formula is discussed .Meanwhile ,an asymptotic formula for a sum of the tail is obtained as∑k≤ N (N - k)2 Sy (k)2 = T(y) N33 1 + Oδ y2N δ .关键词
哥德巴赫问题/奇异级数/渐近公式/余项/和Key words
Goldbach problems/singular series/asymptotic formula/tail/sum分类
数理科学引用本文复制引用
韩延婷..哥德巴赫问题中的一类奇异级数[J].西安工程大学学报,2016,30(2):256-261,6.
