个人简介

天津理工大学数学科学学院讲师。2025年博士毕业于山东大学基础数学专业，同年入职天津理工大学，任数学系教师。长期从事解析数论研究，主要关注稀疏集上的加性问题，包括华林-哥德巴赫问题的例外集、Linnik 问题及 Roth 型定理等。在Can. J. Math., J. Number Theory, Acta Arith., Ramanujan J., Int. J. Number Theory, Monatsh. Math. 等杂志发表论文多篇。

研究领域

   解析数论 华林-哥德巴赫问题 转换原理

科研项目

1. 科技部国家重点研发计划项目，Riemann 假设与素数分布，2021-12 至 2026 -11，参与。

代表论文

1. Rui Zhang. Roth–type theorem with unequal powers of Piatetski–Shapiro primes. Int. J. Number Theory, 2026, online.

2. Qiang Ma, Rui Zhang. Cancellation in sums over special sequences on GL(m) and their applications. Can. J. Math., 2025, 1–30, online.

3. Rui Zhang, Wei Zhang. On exceptional sets for Waring–Goldbach problems with unlike powers. Front. Math., 20 (2025), 1061–1070.

4. Xiumin Ren, Yu-Chen Sun, Qingqing Zhang, Rui Zhang. Roth-type theorem for nonlinear equation in Piatetski-Shapiro primes. Int. J. Number Theory, 21 (2025), no. 4, 887–902.

5. Qingqing Zhang, Rui Zhang. Roth-type theorem for high-power system in Piatetski-Shapiro primes. Front. Math., 20 (2025), no. 1, 67–86.

6. Xiumin Ren, Qingqing Zhang and Rui Zhang. Roth-type theorem for quadratic system in Piatetski-Shapiro primes. J. Number Theory, 257 (2024), 1–23.

7. Rui Zhang. Goldbach–Linnik type problems with mixed powers of primes. Ramanujan J., 60 (2023), no. 4, 1069–1080.

8. Zhixin Liu, Rui Zhang. Small solutions of an equation with unequal powers of primes. Acta Arith., 195 (2020), no. 1, 57–68.

9. Rui Zhang. Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes. Front. Math., 14 (2019), no. 5, 1017–1035.

10. Zhixin Liu, Rui Zhang. On sums of squares of primes and a k-th power of prime. Monatsh. Math., 188 (2019), no. 2, 269–285.