研究生导师叶扬波：山东大学

　　姓名：叶扬波
　　性别：男
　　出生年月：1957.9
　　学历：博士
　　专业技术职务：教授
　　担任博导时间：1999年
　　学术身份：长江学者奖励计划讲座教授
 
　　学习与工作经历
　　3/1978-7/1981 清华大学，基础课教学研究部，数学师资班
　　10/1981-5/1986:  Columbia University,Department of Mathematics, New York
　　Ph.D. 1986, M.Phil. 1986, M.A. 1986.
　　7/1994-6/1999 Associate Professor of Mathematics,
　　8/1990-6/1994 Assistant Professor of Mathematics.
　　1-6/1999  The University of Hong Kong, Dept of Mathematics, Honorary Associate Professor.
　　7/1988-7/1990 Cornell University, Dept of Mathematics,
　　H.C. Wang Assistant Professor.
　　9/1987-6/1988 Johns Hopkins University, Dept of Mathematics, Visiting Assistant Professor.
　　8/1986-8/1987 Institute for Advanced Study, School of Mathematics, Princeton, Member

　　研究领域介绍
　　研究方向：解析数论，自守形式
　　研究领域为数论中的一个核心问题：自守L函...

　　姓名：叶扬波
　　性别：男
　　出生年月：1957.9
　　学历：博士
　　专业技术职务：教授
　　担任博导时间：1999年
　　学术身份：长江学者奖励计划讲座教授

　　学习与工作经历
　　3/1978-7/1981 清华大学，基础课教学研究部，数学师资班
　　10/1981-5/1986: Columbia University,Department of Mathematics, New York
　　Ph.D. 1986, M.Phil. 1986, M.A. 1986.
　　7/1994-6/1999 Associate Professor of Mathematics,
　　8/1990-6/1994 Assistant Professor of Mathematics.
　　1-6/1999 The University of Hong Kong, Dept of Mathematics, Honorary Associate Professor.
　　7/1988-7/1990 Cornell University, Dept of Mathematics,
　　H.C. Wang Assistant Professor.
　　9/1987-6/1988 Johns Hopkins University, Dept of Mathematics, Visiting Assistant Professor.
　　8/1986-8/1987 Institute for Advanced Study, School of Mathematics, Princeton, Member

　　研究领域介绍
　　研究方向：解析数论，自守形式
　　研究领域为数论中的一个核心问题：自守L函数的函子性质与分析性质。证明了Rankin-Selberg L函数关于权/特征值的亚凸性界并达到了第二屏障。得到了小区间上GL(2) L函数的四次积分均值估计。证明了素数及素数幂上的Selberg正交性猜想。证明了自守L函数的分解唯一性。证明了自守L函数的素数定理。在Langlands函子性猜想的研究方面引入了自守L函数非平凡零点的统计分布工具。

　　近年发表的主要论著
　　1. Perron's formula and the prime number theorem for automorphic L-functions，Pure Appl. Math. Q. 3 (2007), no. 2, 481―497, Liu, Jianya; Ye, Yangbo.
　　2. Hypothesis H and the prime number theorem for automorphic representations, to appear in Functiones et Approximatio. Equal contribution, Jie Wu and Yangbo Ye.
　　3. Shifted convolution sums of Fourier coefficients of cusp forms, Number Theory, Sailing on the sea of Number Theory, World Scientific, (2007) 108-135, Lau, Yuk-Kam; Liu, Jianya; Ye, Yangbo.
　　4. Subconvexity bounds for Rankin-Selberg L-functions for congruence subgroups, J. Number Theory 121 (2006), no. 2, 204―223, Lau, Yuk-Kam; Liu, Jianya; Ye, Yangbo.
　　5. The fourth power moment of automorphic L-functions for GL(2) over a short interval, Transactions of the American Mathematical Society, 358 (2006), 2259-2268, Yangbo Ye.
　　6. A new bound ksp {2/3+epsilon} for Rankin-Selberg L-functions for Hecke congruence subgroups, IMRP Int. Math. Res. Pap. 2006, Art. ID 35090, 78 pp, Lau, Yuk-Kam; Liu, Jianya; Ye, Yangbo.
　　7. Zeros of automorphic L-functions and noncyclic base change, Number theory, 119--152, Dev. Math., 15, Springer, New York, 2006, Liu, Jianya; Ye, Yangbo.
　　8. A proof of Selberg's orthogonality for automorphic $L$-functions, Manuscripta Math. 118 (2005), no. 2, Liu, Jianya; Wang, Yonghui; Ye, Yangbo.
　　9. Distribution of zeros of Dirichlet $L$-functions and the least prime in an arithmetic progression, Acta Arith. 119 (2005), no. 1, 13―38, Liu, Jianya; Ye, Yangbo.
　　10. Selberg's orthogonality conjecture for automorphic $L$-functions, Amer. J. Math. 127 (2005), no. 4, 837―849,...

　　近年发表的主要论著
　　1. Perron's formula and the prime number theorem for automorphic L-functions，Pure Appl. Math. Q. 3 (2007), no. 2, 481―497, Liu, Jianya; Ye, Yangbo.
　　2. Hypothesis H and the prime number theorem for automorphic representations, to appear in Functiones et Approximatio. Equal contribution, Jie Wu and Yangbo Ye.
　　3. Shifted convolution sums of Fourier coefficients of cusp forms, Number Theory, Sailing on the sea of Number Theory, World Scientific, (2007) 108-135, Lau, Yuk-Kam; Liu, Jianya; Ye, Yangbo.
　　4. Subconvexity bounds for Rankin-Selberg L-functions for congruence subgroups, J. Number Theory 121 (2006), no. 2, 204―223, Lau, Yuk-Kam; Liu, Jianya; Ye, Yangbo.
　　5. The fourth power moment of automorphic L-functions for GL(2) over a short interval, Transactions of the American Mathematical Society, 358 (2006), 2259-2268, Yangbo Ye.
　　6. A new bound ksp {2/3+epsilon} for Rankin-Selberg L-functions for Hecke congruence subgroups, IMRP Int. Math. Res. Pap. 2006, Art. ID 35090, 78 pp, Lau, Yuk-Kam; Liu, Jianya; Ye, Yangbo.
　　7. Zeros of automorphic L-functions and noncyclic base change, Number theory, 119--152, Dev. Math., 15, Springer, New York, 2006, Liu, Jianya; Ye, Yangbo.
　　8. A proof of Selberg's orthogonality for automorphic $L$-functions, Manuscripta Math. 118 (2005), no. 2, Liu, Jianya; Wang, Yonghui; Ye, Yangbo.
　　9. Distribution of zeros of Dirichlet $L$-functions and the least prime in an arithmetic progression, Acta Arith. 119 (2005), no. 1, 13―38, Liu, Jianya; Ye, Yangbo.
　　10. Selberg's orthogonality conjecture for automorphic $L$-functions, Amer. J. Math. 127 (2005), no. 4, 837―849, Liu, Jianya; Ye, Yangbo.
　　11. Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions, Forum Math. 17 (2005), no. 3, 493―512, Liu, Jianya; Ye, Yangbo.
　　12. Subconvexity for Rankin-Selberg L-functions of Maass forms, Geom. Funct. Anal. 12 (2002), no. 6, 1296―1323, Liu, Jianya; Ye, Yangbo.
　　13. Superposition of zeros of distinct L-functions, Forum Math. 14 (2002), no. 3, 419―455, Liu, Jianya; Ye, Yangbo