刘华锋
职 称:副教授 硕士生导师
职 务:学术副院长
办公室:长清湖校区文渊楼A235
邮 箱:huafengliu@sdnu.edu.cn
研究方向:解析数论;自守形式
个人简介
刘华锋,男,中共党员,理学博士,副教授,硕士生导师。一直从事解析数论方面的研究,得到了一些基础性的研究成果。在Journal of Numer Theory、The Ramanujan Journal、 Sbornik: Mathematics等国际权威期刊发表30余篇SCI收录论文。先后主持国家级科研项目1项,省部级科研项目1项。山东省高等学校青年创新团队负责人。曾到美国Towson大学、澳门科技大学等进行学术访问。
研究兴趣
解析数论;自守形式
招生方向
硕士研究生招生专业:解析数论
开设课程
数学分析;高等数学;自守L-函数;代数数论基础
科研项目
1.国家自然科学基金青年基金:二次曲面上的素点分布 (2018.1.1-2021.12.31) 主持
2.山东省自然科学基金博士基金:筛法的研究及应用 (2018.3.1-2020.12.31) 主持
学术兼职
美国《Mathematical Reviews》评论员
欧洲数学会《zbMATH Open》评论员
代表性成果
1. Liu, Huafeng; Yang, Xiaojie. The average behaviors of the Fourier coefficients of j-th symmetric power L-function over two sparse sequences of positive integers, Bull. Iranian Math. Soc. 50 (2024), no. 1, Paper No. 14, 16 pp.
2. Han, Xue; Liu, Huafeng. Powers of 2 in two Goldbach-Linnik type problems involving prime cubes, Discrete Math. 347 (2024), no. 1, Paper No. 113674, 9 pp.
3. Liu, Huafeng. The values of general quadratic forms at prime arguments, Monatsh. Math. 201 (2023), no. 2, 465–482.
4. Liu, Huafeng. Two Diophantine inequalities over primes with fractional power, Front. Math. 18 (2023), no. 6, 1349–1362.
5. Han, Xue; Liu, Huafeng. Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes, Mat. Sb. 214 (2023), no. 5, 140–152. Sb. Math. 214 (2023), no. 5, 744–756.
6. Liu, Huafeng. The average behavior of Fourier coefficients of symmetric power L-functions, Bull. Malays. Math. Sci. Soc. 46 (2023), no. 6, Paper No. 193, 15 pp.
7. Han, Xue; Liu, Huafeng. A pair of equations in eight prime cubes and powers of 2, Bull. Aust. Math. Soc. 108 (2023), no. 2, 244–253.
8. Liu, Huafeng. Notes on general divisor problems related to Maass cusp forms, Period. Math. Hungar. 86 (2023), no. 2, 552–563.
9. Liu, Huafeng. The second moment of the Fourier coefficients of triple product L-functions, Proc. Indian Acad. Sci. Math. Sci. 133 (2023), no. 1, Paper No. 8, 12 pp.
10. Liu, Huafeng. On the asymptotic distribution of Fourier coefficients of cusp forms, Bull. Braz. Math. Soc. (N.S.) 54 (2023), no. 2, Paper No. 21, 17 pp.
11. Liu, Huafeng; Yue, Jun. Diophantine approximation over primes with different powers, Appl. Math. Comput. 421 (2022), Paper No. 126940, 11 pp.
12. Liu, Huafeng. Mean value estimates related to the Dedekind zeta-function, Proc. Indian Acad. Sci. Math. Sci. 131 (2021), no. 2, Paper No. 48, 10 pp.
13. Liu, Huafeng. A note on Diophantine approximation with prime variables and mixed powers, Ramanujan J. 56 (2021), no. 1, 249–263.
15. Liu, Huafeng. Diophantine approximation with one prime, two squares of primes and powers of two. Ramanujan J. 51 (2020), no. 1, 85–97.
16. Liu, Huafeng; Huang, Jing Diophantine approximation with mixed powers of primes. Taiwanese J. Math. 23 (2019), no. 5, 1073–1090.
17. Liu, Huafeng; Zhang, Rui. Some problems involving Hecke eigenvalues. Acta Math. Hungar. 159 (2019), no. 1, 287–298.
18. Liu, Huafeng. A divisor problem attached to regular quadratic forms. Lith. Math. J. 59 (2019), no. 2, 169–184.
19. Liu, Huafeng. Mean value estimates of the coefficients of product L-functions. Acta Math. Hungar. 156 (2018), no. 1, 102–111.
20. Kumchev, Angel; Liu, Huafeng. On sums of powers of almost equal primes. J. Number Theory 176 (2017), 344–364.