堆垒数论中的可允许指数以及Piatetski-Shapiro集合上孪生素数猜想的相关问题

12001047
2020
A0102.解析数论与组合数论
张敏
青年科学基金项目
讲师
北京信息科技大学
24万元
筛法;孪生素数;可允许指数;殆素数;Bombieri-Vinogradov 型定理
2021-01-01到2023-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 On the Waring–Goldbach problem for two squares and four cubes 期刊论文 Min Zhang;Hongxin Bai;Jinjiang Li
2 On the Waring–Goldbach problem for one square and five cubes in short intervals 期刊论文 Fei Xue;Min Zhang;Jinjiang Li
3 An additive problem over Piatetski–Shapiro primes and almost–primes 期刊论文 Jinjiang Li;Min Zhang;Fei Xue
4 On Waring–Goldbach problem for one square, four cubes and one biquadrate 期刊论文 Jinjiang Li;Fei Xue;Min Zhang
5 On a ternary Diophantine equation involving fractional powers with prime variables of a special form 期刊论文 Jinjiang Li;Min Zhang;Fei Xue
6 Piatetski–Shapiro primes in the intersection of multiple Beatty sequences 期刊论文 Victor Zhenyu Guo;Jinjiang Li;Min Zhang
7 Piatetski–Shapiro primes in arithmetic progressions 期刊论文 Victor Zhenyu Guo;Jinjiang Li;Min Zhang
8 A quaternary Diophantine inequality with prime numbers of a special form 期刊论文 Jinjiang Li;Fei Xue;Min Zhang
9 On Waring–Goldbach problem for squares, cubes and higher powers 期刊论文 Min Zhang;Jinjiang Li
10 On the Waring–Goldbach problem for one cube and nine biquadrates 期刊论文 Jinjiang Li;Min Zhang
11 Slim exceptional set for sums of mixed powers of primes 期刊论文 Jinjiang Li;Min Zhang;Yuetong Zhao
12 Exceptional set in Waring–Goldbach problem involving squares, cubes and sixth powers 期刊论文 Jinjiang Li;Min Zhang;Haonan Zhao
13 On Waring–Goldbach problem for two squares and five biquadrates 期刊论文 Jinjiang Li;Linji Long;Min Zhang
14 On the Waring–Goldbach problem for two squares and four cubes 期刊论文 Min Zhang;Fei Xue;Jinjiang Li
15 Distribution of αp2 modulo one with prime variable p of a special form 期刊论文 Fei Xue;Jinjiang Li;Min Zhang
16 A ternary Diophantine inequality with prime numbers of a special form 期刊论文 Jinjiang Li;Fei Xue;Min Zhang
17 Beatty primes from fractional powers of almost–primes 期刊论文 Victor Zhenyu Guo;Jinjiang Li;Min Zhang
18 Exceptional set in Waring–Goldbach problem for sums of one square and five cubes 期刊论文 Jinjiang Li;Yiyang Pan;Ran Song;Min Zhang
19 On the least almost–prime in arithmetic progression 期刊论文 Jinjiang Li;Min Zhang;Yingchun Cai
20 On two Diophantine inequalities over primes (II) 期刊论文 Yuetong Zhao;Jinjiang Li;Min Zhang
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