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姓名:张敏 性别:女 民族:汉族 出生年月:1989年5月 政治面貌:群众 学历/职称:博士研究生,副教授,硕士生导师,现任行政职务(基础数学系副主任),《美国数学评论》评论员 联系方式:zmmaths@163.com |
研究方向及兴趣
解析数论,堆垒素数论,指数和估计,筛法及其应用
主讲课程
本科生课程:《高等数学》
研究生生课程:《抽象代数》、《解析数论》
学习工作经历
2008.09-2012.06 南通大学 数学与应用数学 理学学士
2013.09-2016.06 山东大学 基础数学 理学硕士
2016.09-2019.06 中国矿业大学(北京) 基础数学 理学博士
2019.07-2020.12 北京信息科技大学理学院 讲师
2021.01-至今 北京信息科技大学理学院 副教授
主要科研项目
1. 国家自然科学基金青年科学基金,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 (No.12001047),2021/01-2023/12,30万,主持
2. 北京市自然科学基金面上项目, Hardy-Littlewood 猜想的逼近及特殊形式素数的小间隔问题 (No. 1242003), 2024/01-2026/12,20万,主持
3. 国家自然科学基金面上项目,解析数论中的若干问题 (No.11971476), 2020/01-2023/12,52万,参与
4. 国家自然科学基金面上项目, 解析数论中的三类问题 (No. 12471009), 2025/01-2028/12,43万,参与
主要学术成果
1. Min Zhang, Jinjiang Li, Distribution of cube–free numbers with form [n^c], Front. Math. China, 12 (2017), no. 6, 1515–1525.
2. Jinjiang Li, Min Zhang, Hua’s theorem with the primes in Piatetski–Shapiro prime sets, Int. J. Number Theory, 14 (2018), no. 1, 193–220.
3. Jinjiang Li, Panwang Wang, Min Zhang, On the fourth power moment of Fourier coefficients of cusp form, Acta Math. Sin. (Engl. Ser.), 34 (2018), no. 6, 1050–1058.
4. Jinjiang Li, Min Zhang, On the fourth power moment of the error term for the divisor problem with congruence conditions, Int. J. Number Theory, 14 (2018), no. 6, 1525–1546.
5. Jinjiang Li, Min Zhang, On Waring–Goldbach problem for unlike powers, Int. J. Number Theory, 14 (2018), no. 6, 1669–1687.
6. Min Zhang, Jinjiang Li, Exceptional set for sums of unlike powers of primes, Taiwanese J. Math., 22 (2018), no. 4, 779–811.
7. Wenxu Ge, Min Zhang, Jinjiang Li, The values of binary linear forms at prime arguments, J. Number Theory, 192 (2018), 47–64.
8. Min Zhang, Jinjiang Li, On two Diophantine inequalities over primes, Indag. Math. (N.S.), 29 (2018), no. 5, 1393–1410.
9. Jinjiang Li, Min Zhang, On the Waring–Goldbach problem for one square and five cubes, Int. J. Number Theory, 14 (2018), no. 9, 2425–2440.
10. Min Zhang, Jinjiang Li, Waring–Goldbach problem for unlike powers with almost equal variables, Int. J. Number Theory, 14 (2018), no. 9, 2441–2472.
11. Min Zhang, Jinjiang Li, On a Diophantine inequality over primes, J. Number Theory, 202 (2019), 220–253.
12. Min Zhang, Jinjiang Li, On a Diophantine equation with three prime variables, Integers, 19 (2019), Paper No. A39, 13 pp.
13. Min Zhang, Jinjiang Li, A Diophantine inequality with four prime variables, Int. J. Number Theory, 15 (2019), no. 9, 1759–1770.
14. Min Zhang, Jinjiang Li, On the sum of divisors of mixed powers in short intervals, Ramanujan J., 51 (2020), no. 2, 333–352.
15. Jinjiang Li, Chao Liu, Zhuo Zhang, Min Zhang, Exceptional set for sums of symmetric mixed powers of primes, Symmetry, 12 (2020), no. 3, 367.
16. Min Zhang, Jinjiang Li, Exceptional set for sums of unlike powers of primes (II), Ramanujan J., 55 (2021), no. 1, 131–140.
17. Fei Xue, Min Zhang, Jinjiang Li, On the Waring–Goldbach problem for one square and five cubes in short intervals, Czechoslovak Math. J., 71(146) (2021), no. 2, 563–589.
18. Min Zhang, Jinjiang Li, On Waring–Goldbach problem for squares, cubes and higher powers, Ramanujan J., 56 (2021), no. 3, 1123–1150.
19. Jinjiang Li, Min Zhang, Yuetong Zhao, Slim exceptional set for sums of mixed powers of primes, Proc. Indian Acad. Sci. Math. Sci., 131 (2021), no. 2, Paper No. 29, 25 pp.
20. Fei Xue, Jinjiang Li, Min Zhang, Distribution of αp2 modulo one with prime variable p of a special form, J. Math., 2021, Art. ID 5516049, 22 pp.
21. Jinjiang Li, Min Zhang, Haonan Zhao, Exceptional set in Waring–Goldbach problem involving squares, cubes and sixth powers, Studia Sci. Math. Hungar., 58 (2021), no. 1, 84–103.
22. Jinjiang Li, Yiyang Pan, Ran Song, Min Zhang, Exceptional set in Waring–Goldbach problem for sums of one square and five cubes, AIMS Math., 7 (2022), no. 2, 2940–2955.
23. Jinjiang Li, Min Zhang, Fei Xue, An additive problem over Piatetski–Shapiro primes and almost–primes, Ramanujan J., 57 (2022), no. 4, 1307–1333.
24. Min Zhang, Fei Xue, Jinjiang Li, On the Waring–Goldbach problem for two squares and four cubes, AIMS Math., 7 (2022), no. 7, 12415–12436.
25. Jinjiang Li, Min Zhang, Fei Xue, On a ternary Diophantine equation involving fractional powers with prime variables of a special form, Ramanujan J., 58 (2022), no. 4, 1171–1199.
26. Jinjiang Li, Fei Xue, Min Zhang, A ternary Diophantine inequality with prime numbers of a special form, Period. Math. Hungar., 85 (2022), no. 1, 14–31.
27. Victor Zhenyu Guo, Jinjiang Li, Min Zhang, Piatetski–Shapiro primes in the intersection of multiple Beatty sequences, Rocky Mountain J. Math., 52 (2022), no. 4, 1375–1394.
28. Jinjiang Li, Min Zhang, Yingchun Cai, On the least almost–prime in arithmetic progression, Czechoslovak Math. J., 73(148) (2023), no. 1, 177–188.
29. Victor Zhenyu Guo, Jinjiang Li, Min Zhang, Piatetski–Shapiro primes in arithmetic progressions, Ramanujan J., 60 (2023), no. 3, 677–692.
30. Jinjiang Li, Fei Xue, Min Zhang, On Waring–Goldbach problem for one square, four cubes and one biquadrate, Bull. Aust. Math. Soc., 107 (2023), no. 3, 416–431.
31. Yuetong Zhao, Jinjiang Li, Min Zhang, On two Diophantine inequalities over primes (II), Adv. Math. (China), 52 (2023), no. 3, 406–424.
32. Victor Zhenyu Guo, Jinjiang Li, Min Zhang, Beatty primes from fractional powers of almost–primes, Indag. Math. (N.S.), 34 (2023), no. 6, 1254–1270.
33. Min Zhang, Hongxin Bai, Jinjiang Li, On the Waring–Goldbach problem for two squares and four cubes, Open Math., 21 (2023), no. 1, Paper No. 20220608, 21 pp.
34. Jinjiang Li, Fei Xue, Min Zhang, A quaternary Diophantine inequality with prime numbers of a special form, Ramanujan J., 63 (2024), no. 2, 259–291.
35. Jinjiang Li, Linji Long, Min Zhang, On Waring–Goldbach problem for two squares and five biquadrates, Indian J. Pure Appl. Math., 55 (2024), no. 2, 776–793.
36. Jinjiang Li, Min Zhang, On the Waring–Goldbach problem for one cube and nine biquadrates, Adv. Math. (China), 53 (2024), no. 1, 100–114.
37. Fei Xue, Jinjiang Li, Min Zhang, Juanjuan Wu, Goldbach–Linnik–type problem of symmetric mixed powers of primes and powers of two, Symmetry, 16 (2024), no. 8, 945.
38. Xiaotian Li, Jinjiang Li, Min Zhang, On the distribution of αp modulo one in the intersection of two Piatetski–Shapiro sets, Ramanujan J., 65 (2024), no. 2, 743–758.
39. Jinjiang Li, Fei Xue, Min Zhang, On Chen’s theorem over Piatetski–Shapiro type primes and almost–primes, Ramanujan J., 65 (2024), no. 3, 1323–1362.
40. Fei Xue, Jinjiang Li, Min Zhang, Almost primes of the form [p1/γ], Ramanujan J., 65 (2024), no. 3, 1525–1552.
41. Jinjiang Li, Min Zhang, On the Waring–Goldbach problem for one cube and nine biquadrates, Front. Math. China, 19 (2024), no. 4, 229–246.
42. Minmin Liu, Min Zhang, Jinjiang Li, Exceptional set for Diophantine approximation with primes of two squares and three biquadrates, Adv. Math. (China), 54 (2025), no. 1, 18–36.
43. Yi Cai, Jinjiang Li, Yankun Sui, Fei Xue, Min Zhang, On higher–power moments of Δa(x) for -1/2 < a < 0, Period. Math. Hungar., 90 (2025), no. 2, 403–414.
44. Jinjiang Li, Chenyang Zhao, Zishun Liu, Min Zhang, On Waring–Goldbach problem for two squares, two cubes and two fifth powers, Adv. Math. (China), 54 (2025), no. 4, 735–748.
45. Jinjiang Li, Jinyun Qi, Min Zhang, A generalization of Piatetski–Shapiro sequences (II), Indian J. Pure Appl. Math., 56 (2025), no. 4, 1293–1303.
46. Xiaotian Li, Jinjiang Li, Min Zhang, Vinogradov’s three primes theorem in the intersection of multiple Piatetski–Shapiro sets, Indian J. Pure Appl. Math., (2026), https://doi.org/10.1007/s13226-0
47. Min Zhang, Jinjiang Li, Linji Long, Yuhan Yang, On a system of two Diophantine inequalities with five prime variables, Front. Math., (2026), https://doi.org/10.1007/s11464-025-0194-x
48. Zhen Guo, Jinjiang Li, Linji Long, Min Zhang, On the mean square of the error term for the asymmetric two–dimensional divisor problem with congruence conditions, Indag. Math. (N.S.), (2026)

