姓名：华国栋
专业：数学与统计学院-数学与应用数学专业
职称：副教授
电子邮件：huawnu@163.com
个人简介：
华国栋, 男, 1991年10月生, 副教授, 数学学科硕士研究生导师, 基础数学专业博士学历, 2018年6月—2022年12月在山东大学数学学院学习, 获得理学博士学位, 主要研究解析数论以及数论应用方面等重要领域，包含经典Riemann zeta函数、指数和的估计、经典Hardy-Littlewood圆法、筛法及其应用、自守形式及其L-函数、代数数论、概率数论、椭圆曲线、遍历论与数论的融合等研究领域，在国际权威数学期刊发表高质量学术论文30篇左右,在自守L-函数、代数数论等数论研究领域得到一系列有重要国际影响力的研究成果，特别在自守形式Fourier系数高阶均值估计、自守L-函数Fourier系数变号问题上得到国际领先的成绩，得到国际著名数论专家的高度评价与肯定, 为自守形式以及L-函数解析理论的发展做出了较为突出的贡献。主持陕西省科技厅青年项目1项，参与国家科技部重大科研项目与陕西省科技厅面上项目各1项, 发表于国际著名数学期刊The Ramanujan Journal的学术论文《On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power L-functions》在陕西省数学会2023年学术年会上荣获“青年教师优秀论文一等奖”，获邀在2023年陕西省数学会年会以及2023年陕西省工业与应用数学学会年会做青年特邀一小时报告,得到陕西省数学界同仁的高度好评。
主讲课程：《数学分析》、《复变函数》、《数学物理方程》、《大学数学毕业论文指导与实践》、《数论基础》、《模形式与L-函数前沿理论》、《自守L-函数专题选讲》
代表性论著（论文、专著、教材）、奖励：
代表性论文：
1. Guodong Hua, Sums of Fourier coefficients associated with Hecke cusp forms, Lith. Math. J. 62 (2022), no. 3, 349-359.
2. Guodong Hua, On the first simultaneous sign change for Fourier coefficients associated with Hecke-Maass forms, Ramanujan J. 59 (2022), no. 2, 559-570.
3. Guodong Hua, Discrete mean square of the coefficients of triple product L-functions over certain sparse sequence, Bull. Sci. Math. 180 (2022), paper no. 103194, 12 pp.
4. Guodong Hua, Average behaviour of higher moments of cusp form coefficients, Funct. Approximatio, Comment. Math. 67 (2022), no. 1, 69-76.
5. Guodong Hua, On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power L-functions, Ramanujan J. 59 (2022), no. 3, 775-789.
6. Guodong Hua, The average behaviour of Hecke eigenvalues over certain sparse sequence of positive integers, Res. Number Theory 8 4 (2022), paper no. 95, 20 pp.
7. Guodong Hua, On the simultaneous sign changes of Hecke eigenvalues over an integral binary quadratic form, Acta Math. Hungar. 167 (2022), no. 2, 476-491.
8. Guodong Hua, A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form, Czech. Math. J. 72 (2022), no. 4, 1047-1054.
9. Guodong Hua, Higher power moments of shifted convolutions of Fourier coefficients involving squarefull kernel functions, Ramanujan J. 60 (2023), no. 3, 585-596.
10. Guodong Hua, Mean value estimate of a hybrid arithmetic function attached to Fourier coefficients of Hecke-Maass forms, Eur. J. Math. 9 (2023), no. 2, paper no. 30, 10 pp.
11. Guodong Hua, A note on the cancellations of sums involving Hecke eigenvalues, Indian J. Pure Appl. Math. 54 (2023), no. 2, 619-629.
12. Guodong Hua, On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms, Proc. Indian Acad. Sci., Math. Sci. 133 (2023), no. 1, paper no. 12, 17 pp.
13. Guodong Hua, Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms, Proc. Indian Acad. Sci., Math. Sci. 133 (2023), no. 2, paper no. 17, 19 pp.
14. Guodong Hua, On the local maxima behaviour of Hecke eigenvalues and its applications, Front. Math. (China) 18 (2023), no. 2, 491-502.
15. Guodong Hua, On general divisor problems of Hecke eigenvalues of cusp forms, Period. Math. Hungar. 87 (2023), no. 2, 340-350.
16. Guodong Hua, Bin Chen, L. J. Pan, and X. F. Chen, On higher moments of Dirichlet coefficients attached to symmetric square L-functions over certain sparse sequence, Rend. Circ. Mat. Palermo (2) 72 (2023), no. 8, 4195-4208.
17. Guodong Hua, The three-dimensional divisor problems related to cusp form coefficients, Rocky Mountain J. Math. 53 (2023), no. 6, 1847-1863.
18. Guodong Hua, On the simultaneous sign changes of coefficients of Rankin-Selberg
L-functions over a certain integral binary quadratic form, Math. Pannonica (N.S.) 29 (2023), no. 2, 244-257.
19. Guodong Hua, Deterministic comparison of cusp form coefficients over certain sequences, Ramanujan J. 63 (2024), no. 4, 1087-1107.
20. Guodong Hua, On the Fourier coefficients for general product L-functions, Math. Pannonica (N.S.) (2024), online.
21. Guodong Hua and Bin Chen, Higher power moments of coefficients attached to the Dedekind zeta function, Rev. Roum. Math. Pures Appl. 69 (2024), no. 1, 1-10.
22. Guodong Hua, Estimate for higher moments of cusp form coefficients over sum of two squares, Math. Rep., Buchar. 26 (76) (2024), no. 1, 71-82.
23. Guodong Hua, The average behaviour of Fourier coefficients of Hecke-Maass form associated to k-free numbers, Ramanujan J. (2024), online.
24. Guodong Hua, On the sign changes of the coefficients attached to triple product L-functions, Int. J. Number Theory (2024), online.
25. Guodong Hua, Bin Chen and Fei Hou, On higher power moments of Dirichlet coefficients of symmetric power L-functions on a binary quadratic form, Funct. Approximatio, Comment. Math. (2024), online.
26. Guodong Hua, The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function, Ramanujan J. (2024), online.
27. Guodong Hua, On Fourier coefficients associated to automorphic L-functions over a binary quadratic form and its applications, Ramanujan J. (2024), online.
28. Guodong Hua, The general divisor problems involving coefficients attached to Dedekind zeta function over certain sequence, Acta Univ. Sapientiae, Math. (2024), online.
大学数论基础课程教学教程：
华国栋，高等算术——数论导引，Harold Davenport原著，第八版，哈尔滨工业大学出版社，哈尔滨，2023.
学术兼职：
中国数学会成员, 美国数学会《Mathematical Reviews》评论员, 《数学进展》青年编委
