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劳会学
职 称：教授 硕士生导师
办公室：长清湖校区文渊楼A229
邮 箱：lhxsdnu@163.com
个人简介
劳会学，女，无党派人士，1975年生，数学博士，硕士生导师。2001年7月起在山东师范大学数学与统计学院工作至今。目前在国际知名期刊《Proc. Amer. Math. Soc.》、《J. Number Theory》、《Acta Arith.》、《Monatsh. Math.》、《Ramanujan J.》、《Acta Math. Hungar.》、《中国科学》、《数学年刊》、《数学学报》等正式发表论文40余篇。主持国家自然科学基金青年基金、天元基金各1项，山东省自然科学基金面上项目2项、青年基金1项。应邀访问过美国爱荷华大学、爱荷华州立大学、日本九州大学等。2007年起任美国《数学评论》评论员。
研究方向
解析数论
研究兴趣
自守形式、自守L-函数
招生方向
基础数学专业解析数论方向
开设课程
数学分析；高等数学；常微分方程；复变函数；解析数论基础
科研项目
1. 一般线性群上自守表示Hecke特征值的随机性质及应用（ZR2024MA053），山东省自然科学基金面上项目，2025.01-2027.12，10万，主持.
2. 自守形式和自守表示的傅立叶系数的渐近分布及其应用（ZR2018MA003），山东省自然科学基金面上项目，2018.03-2021.06，12万，主持.
3. 某些自守L-函数的高次积分均值及其应用（11101249），国家自然科学基金青年基金，2012.01-2014.12，22万，主持.
4. 模形式傅立叶系数的均值估计（11026075），国家自然科学基金天元基金，2011.01-2011.12，3万，主持.
5. 广义素变数三角和估计（ZR2009AQ007），山东省自然科学基金青年基金，2010.01-2012.12，2万，主持.
代表性成果
1. H. X. Lao (with S. Luo), The distribution of coefficients of symmetric square L-functions over sparse sequences, Ramanujan J., Vol. 66, No. 3, 2025, 1-23. (SCI)
2. H. X. Lao (with G. W. Hu), The circle method and shifted convolution sums involving the divisor function, J. Number Theory, Vol. 262, 2024, 1-27. (SCI)
3. H. X. Lao (with S. Luo), On the coefficients of automorphic representations over polynomials, Ramanujan J., Vol. 65, No. 1, 2024, 173-188. (SCI)
4. H. X. Lao (with H. F. Liu), The asymptotic distribution of coefficients of the Dedekind zeta-function over a sparse sequence, Colloq. Math., Vol. 175, No. 1, 2024, 13-30. (SCI)
5. H. X. Lao (with H. F. Liu, R. T. Yu), On high power sums of a hybrid arithmetic function, Math. Slovaca, Vol. 74, No. 6, 2024, 1397-1410. (SCI)
6. H. X. Lao (with F. J. Qiao), Sigh changes of the coefficients of triple product L-functions, J. Korean Math. Soc., Vol. 61, No. 5, 2024, 899–922. (SCI)
7. H. X. Lao (with G. W. Hu, H. M. Pan), High power sums of Fourier coefficients of holomorphic cusp forms and their applications, Aims Math., Vol. 9, No. 9, 2024, 25166–25183. (SCI)
8. H. X. Lao (with H. Zhu), On the asymptotics of coefficients of Rankin–Selberg L-functions, Acta Math. Hungar., Vol. 170, No. 22, 2023, 524–550. (SCI)
9. H. X. Lao (with S. Luo, A. Y. Zou), Asymptotics for the Dirichlet coefficients of symmetric power L-functions, Acta Arith., Vol. 199, No. 3, 2021, 253-268. (SCI)
10. H. X. Lao (with S. Luo), Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms, Rocky Mountain J. Math., Vol. 51, No. 5, 2021, 1701-1714. (SCI)
11. H. X. Lao (with Z. X. Xie, D. Wang), On the number of representations of integers by quaternary quadratic forms, Indian J. Pure Appl. Math., Vol. 52, No. 2, 2021, 395-406. (SCI)
12. H. X. Lao (with S. Luo, A. Y. Zou), Some density results on sets of primes for Hecke eigenvalues, J. math., Vol. 2021, 2021, Article ID 2462693, 12 pages. (SCI)
13. H. X. Lao, On comparing Hecke eigenvalues of cusp forms, Acta Math. Hungar., Vol. 160, No. 1, 2020, 58-71. (SCI)
14. H. X. Lao, Mean value of Dirichlet series coefficients of Rankin-Selberg L-functions, Lith. Math. J., Vol. 57, No. 3, 2017, 351-358. (SCI)
15. H. X. Lao (With Mark McKee, Y. B. Ye), Asymptotics for cuspidal representations by functoriality from GL(2), J. Number Theory, Vol.164, 2016, 323-342. (SCI)
16. H. X. Lao (With A. Sankaranarayanan), Integral mean square estimation for the error term related to, Sci. China Math., Vol. 58, No. 10, 2015, 2125-2132. (SCI)
17. H. X. Lao (with H. B. Wei), Ω-Result on coefficients of automorphic L-functions, J. Korean Math. Soc., Vol.52, No. 5, 2015, 945-954. (SCI)
18. H. X. Lao (With A. Sankaranarayanan), The distribution of Fourier coefficients of cusp forms over sparse sequences, Acta Arith., Vol.163, No.2, 2014, 101-110. (SCI)
19. H. X. Lao, The cancellation of Fourier coefficients of cusp forms over different sparse sequences, Acta Math. Sin. (Engl. Ser.), Vol.29, No.10, 2013, 1963-1972. (SCI)
20. H. X. Lao, On the fourth moment of coefficients of symmetric square L-functions, Chin. Ann. Math., Ser. B, Vol.33, No.6, 2012, 877-888. (SCI)
21. H. X. Lao (With A. Sankaranarayanan), On the mean-square of the error term related to，Sci. China Math., Vol.54, No. 5, 2011, 855-864. (SCI)
22. H. X. Lao, Mean square estimates for coefficients of symmetric power L-functions, Acta App. Math., Vol.110, No. 3，2010, 1127-1136. (SCI)
23. H. X. Lao, On the distribution of integral ideals and Hecke Grossenchracters, Chin. Ann. Math., Ser. B, Vol.31, No.3，2010, 385-392. (SCI)
24. H. X. Lao, Oscillations of coefficients of primitive cusp forms over some special sequences, Ramanujan J., Vol.19, No.3, 2009, 339-350. (SCI)
25. H. X. Lao (With A. Sankaranarayanan), The average behavior of Fourier coefficients of cusp forms over sparse sequences, Proc. Amer. Math. Soc., Vol. 137, No. 8, 2009, 2557-2565. (SCI)
26. H. X. Lao, Exponential sums over primes formed with coefficients of primitive cusp forms, Acta Math. Sin. (Engl. Ser.), Vol. 25, No. 4, 2009, 687-692. (SCI)
27. H. X. Lao, A remark on trigonometric sums, Acta Arith., Vol. 134, No. 2, 2008, 127-131.(SCI)
28. H. X. Lao (With G. S. Lü ), On exponential sums over primes in short intervals, Monatsh. Math., Vol. 151, No. 2, 2007, 153-164. (SCI)
29. H. X. Lao (With X. L. Fu), Generalized second derivative method and stability criteria for impulsive differential systems, Dyn. Contin. Discere Impuls. Syst., Vol.12, No.2, 2005, 247-262. (SCI)
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