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
研究方向:解析数论
个人简介
劳会学,女,1975年生,数学博士,硕士生导师。2001年7月起在伟德国际1946源自英国工作至今。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20余篇,其中17篇被SCI收录。主持国家自然科学基金青年基金、天元基金各一项,山东省自然科学基金面上项目、青年基金各一项。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。
研究兴趣
模形式;自守L-函数
招生方向
硕士研究生招生专业:基础数学
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.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.
2.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.
3.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.
4.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, On comparing Hecke eigenvalues of cusp forms, Acta Math. Hungar., Vol. 160, No. 1, 2020, 58-71.(SCI)
2. 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)
3. 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)
4. 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)
5. 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)
6. 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)
7. 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)
8. 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)
9. 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)
10. H. X. Lao, Mean square estimates for coefficients of symmetric power L-functions, Acta App. Math., Vol.110, No. 3,2010, 1127-1136.(SCI)
11. 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)
12. H. X. Lao, Oscillations of coefficients of primitive cusp forms over some special sequences, Ramanujan J., Vol.19, No.3, 2009, 339-350.(SCI)
13. 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)
14. 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)
15. H. X. Lao, A remark on trigonometric sums, Acta Arith., Vol. 134, No. 2, 2008, 127-131.(SCI)
16. 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)
17. 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)