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刘建亚老师介绍
姓名： 刘建亚
职称： 教授，博士生导师
研究方向： 数论
教育经历： 博士: 山东大学, 1995
硕士: 山东大学, 1992
学士：河北师范大学, 1984
邮箱： jyliu@sdu.edu.cn
职务及兼职：
2008-：山东大学威海分校数学与统计学院院长
2007-：中国数学会常务理事；山东数学会理事长
2003-: 山东大学数学学院院长
论文：
[44] (with Y. Ye) Perron's formula and the prime number theorem for automorphic L-functions, Pure Appl. Math. Q., 3 (2007), 481-497.
[43] A large sieve estimate for Dirichlet polynomials and its applications, Annales Univ. Sci. Budapest., Sect. Comp., 27 (2007), 91-110.
[42] (with Y. K. Lau, Y. Ye) Shifted convolution sums of Fourier coefficients of cusp forms, Number Theory, Sailing on the sea of Number Theory, World Scientific, (2007) 108-135.
[41] (with Y. Ye) Petersson and Kuznetsov trace formulas. Lie groups and automorphic forms, 147-168, AMS/IP Stud. Adv. Math., 37, Amer. Math. Soc., Providence, RI, 2006.
[40] (with Y. Ye) Zeros of automorphic L-functions and noncyclic base change. Number theory, 119-152, Dev. Math., 15, Springer, New York, 2006.
[39] (with T. Zhan, G. Lv) Exponential sums over primes in short intervals, Sci. China Ser. A, 49 (2006), 611-619.
[38] (with Y. K. Lau, Y. Ye) Subconvexity bounds for Rankin-Selberg L-functions for congruence subgroups, J. Number Theory., 121 (2006), 204-223.
[37] (with Y. K. Lau, Y. Ye) A new bound k^{2/3+\epsilon} for Rankin-Selberg L-functions for Hecke congruence subgroups, Int. Math. Res. Pap., 2006, No. 6, 1-78.
[36] (with Y. Wang and Y. Ye) A proof of Selberg's orthogonality for automorphic L-functions, Manuscripta Mathematica, 118(2005), 135-149.
[35] (with Y. Ye) Selberg's orthogonality conjecture for automorphic L-functions, Amer. J. Math. 127 (2005), 837-849.
[34] (with Y. Ye) Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions, Forum Math. 17 (2005), 493-512.
[33] (with K.M. Tsang) Small prime solutions of ternary linear equations. Acta Arith. 118 (2005), 79-100.
[32] (with Y. Ye) Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression, Acta Arith. 119 (2005), 13-38.
[31] (with K.K. Choi) Small prime solutions of quadratic equations II, Proc. Amer. Math. Soc. 133 (2005), 945-951.
[30] (with T.D. Wooley and G. Yu) The quadratic Waring-Goldbach problem, J. Number Theory 107 (2004), 298-321.
[29] (with G. Lü) Four squares of primes and 165 powers of 2, Acta Arith. 114 (2004), 55-70.
[28] On Lagrange's theorem with prime variables, Q. J. Math. 54 (2003), 453-462.
[27] (with Y. Ye) Subconvexity for Rankin-Selberg L-functions of Maass forms, Geom. Funct. Anal. 12 (2002), 1296-1323.
[26] (with Y. Ye) Superposition of zeros of distinct L-functions, Forum Math. 14 (2002), 419-455.
[25] (with M.C. Liu and T. Zhan) Squares of primes and powers of 2. II, J. Number Theory 92 (2002), 99-116.
[24] (with K.K. Choi) Small prime solutions of quadratic equations, Canad. J. Math. 54 (2002), 71-91.
[23] (with Y. Ye) The pair correlation of zeros of the Riemann zeta function and distribution of primes, Arch. Math. (Basel) 76 (2001), 41-50.
[22] (with T. Zhan) Distribution of integers that are sums of three squares of primes, Acta Arith. 98 (2001), 207-228.
[21] (with T. Zhan) Hua's theorem on prime squares in short intervals, Acta Math. Sin. (Engl. Ser.) 16 (2000), 669-690.
[20] (with M.C. Liu) The exceptional set in the four prime squares problem, Illinois J. Math. 44 (2000), 272-293.
[19] (with M.C. Liu) Representation of even integers as sums of squares of primes and powers of 2, J. Number Theory 83 (2000), 202-225.
[18] (with M.C. Liu and T. Zhan) Squares of primes and powers of 2, Monatsh. Math. 128 (1999), 283-313.
[17] (with M.C. Liu and T.Z. Wang) On the almost Goldbach problem of Linnik, Les XXèmes Journées Arithmétiques (Limoges, 1997). J. Théor. Nombres Bordeaux 11 (1999), 133-147.
[16] (with T. Zhan) The Goldbach-Vinogradov theorem, Number theory in progress, Vol. 2 (Zakopane-Koscielisko, 1997), 1005-1023, de Gruyter, Berlin, 1999.
[15] (with M.C. Liu and T.Z. Wang) The number of powers of 2 in a representation of large even integers. II, Sci. China Ser. A 41 (1998), 1255-1271.
[14] The Goldbach-Vinogradov theorem with three primes in a thin subset, Chinese Ann. Math. Ser. B 19 (1998), 479-488.
[13] (with M.C. Liu and T.Z. Wang) The number of powers of 2 in a representation of large even integers. I, Sci. China Ser. A 41 (1998), 386-398.
[12] (with T. Zhan) exponential sums involving the Mobius function, Indag. Math. (N.S.) 7 (1996), 271-278.
[11] (with T. Zhan) Estimation of exponential sums over primes in short intervals I, Monatsh. Math. 127 (1999), 27-41.
[10] (with T. Zhan) Sums of five almost equal prime squares. II, Sci. China Ser. A 41 (1998), 710-722.
[9] (with T. Zhan) On a theorem of Hua, Arch. Math. (Basel) 69 (1997), no. 5, 375-390.
[8] (with T. Zhan) The ternary Goldbach problem in arithmetic progressions, Acta Arith. 82 (1997), no. 3, 197-227.
[7] (with T. Zhan) Estimation of exponential sums over primes in short intervals. II, Analytic number theory, Vol. 2 (Allerton Park, IL, 1995), 571-606, Progr. Math., 139, Birkhauser Boston, Boston, MA, 1996.
[6] On an error term of Chowla. III, J. Number Theory 64 (1997), 51-58.
[5] On an error term of Chowla. II, J. Number Theory 64 (1997), 36-50.
[4] On an error term of Chowla. I, J. Number Theory 64 (1997), 20-35.
[3] (with T. Zhan) A Bombieri-type mean-value theorem concerning exponential sums over primes, Chinese Sci. Bull. 41 (1996), 363-366.
[2] (with T. Zhan) On sums of five almost equal prime squares, Acta Arith. 77 (1996), 369-383.
[1] Remark on a theorem of Wolke, Arch. Math. (Basel) 65 (1995), 413-416.
职称： 教授，博士生导师
研究方向： 数论
教育经历： 博士: 山东大学, 1995
硕士: 山东大学, 1992
学士：河北师范大学, 1984
邮箱： jyliu@sdu.edu.cn
职务及兼职：
2008-：山东大学威海分校数学与统计学院院长
2007-：中国数学会常务理事；山东数学会理事长
2003-: 山东大学数学学院院长
论文：
[44] (with Y. Ye) Perron's formula and the prime number theorem for automorphic L-functions, Pure Appl. Math. Q., 3 (2007), 481-497.
[43] A large sieve estimate for Dirichlet polynomials and its applications, Annales Univ. Sci. Budapest., Sect. Comp., 27 (2007), 91-110.
[42] (with Y. K. Lau, Y. Ye) Shifted convolution sums of Fourier coefficients of cusp forms, Number Theory, Sailing on the sea of Number Theory, World Scientific, (2007) 108-135.
[41] (with Y. Ye) Petersson and Kuznetsov trace formulas. Lie groups and automorphic forms, 147-168, AMS/IP Stud. Adv. Math., 37, Amer. Math. Soc., Providence, RI, 2006.
[40] (with Y. Ye) Zeros of automorphic L-functions and noncyclic base change. Number theory, 119-152, Dev. Math., 15, Springer, New York, 2006.
[39] (with T. Zhan, G. Lv) Exponential sums over primes in short intervals, Sci. China Ser. A, 49 (2006), 611-619.
[38] (with Y. K. Lau, Y. Ye) Subconvexity bounds for Rankin-Selberg L-functions for congruence subgroups, J. Number Theory., 121 (2006), 204-223.
[37] (with Y. K. Lau, Y. Ye) A new bound k^{2/3+\epsilon} for Rankin-Selberg L-functions for Hecke congruence subgroups, Int. Math. Res. Pap., 2006, No. 6, 1-78.
[36] (with Y. Wang and Y. Ye) A proof of Selberg's orthogonality for automorphic L-functions, Manuscripta Mathematica, 118(2005), 135-149.
[35] (with Y. Ye) Selberg's orthogonality conjecture for automorphic L-functions, Amer. J. Math. 127 (2005), 837-849.
[34] (with Y. Ye) Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions, Forum Math. 17 (2005), 493-512.
[33] (with K.M. Tsang) Small prime solutions of ternary linear equations. Acta Arith. 118 (2005), 79-100.
[32] (with Y. Ye) Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression, Acta Arith. 119 (2005), 13-38.
[31] (with K.K. Choi) Small prime solutions of quadratic equations II, Proc. Amer. Math. Soc. 133 (2005), 945-951.
[30] (with T.D. Wooley and G. Yu) The quadratic Waring-Goldbach problem, J. Number Theory 107 (2004), 298-321.
[29] (with G. Lü) Four squares of primes and 165 powers of 2, Acta Arith. 114 (2004), 55-70.
[28] On Lagrange's theorem with prime variables, Q. J. Math. 54 (2003), 453-462.
[27] (with Y. Ye) Subconvexity for Rankin-Selberg L-functions of Maass forms, Geom. Funct. Anal. 12 (2002), 1296-1323.
[26] (with Y. Ye) Superposition of zeros of distinct L-functions, Forum Math. 14 (2002), 419-455.
[25] (with M.C. Liu and T. Zhan) Squares of primes and powers of 2. II, J. Number Theory 92 (2002), 99-116.
[24] (with K.K. Choi) Small prime solutions of quadratic equations, Canad. J. Math. 54 (2002), 71-91.
[23] (with Y. Ye) The pair correlation of zeros of the Riemann zeta function and distribution of primes, Arch. Math. (Basel) 76 (2001), 41-50.
[22] (with T. Zhan) Distribution of integers that are sums of three squares of primes, Acta Arith. 98 (2001), 207-228.
[21] (with T. Zhan) Hua's theorem on prime squares in short intervals, Acta Math. Sin. (Engl. Ser.) 16 (2000), 669-690.
[20] (with M.C. Liu) The exceptional set in the four prime squares problem, Illinois J. Math. 44 (2000), 272-293.
[19] (with M.C. Liu) Representation of even integers as sums of squares of primes and powers of 2, J. Number Theory 83 (2000), 202-225.
[18] (with M.C. Liu and T. Zhan) Squares of primes and powers of 2, Monatsh. Math. 128 (1999), 283-313.
[17] (with M.C. Liu and T.Z. Wang) On the almost Goldbach problem of Linnik, Les XXèmes Journées Arithmétiques (Limoges, 1997). J. Théor. Nombres Bordeaux 11 (1999), 133-147.
[16] (with T. Zhan) The Goldbach-Vinogradov theorem, Number theory in progress, Vol. 2 (Zakopane-Koscielisko, 1997), 1005-1023, de Gruyter, Berlin, 1999.
[15] (with M.C. Liu and T.Z. Wang) The number of powers of 2 in a representation of large even integers. II, Sci. China Ser. A 41 (1998), 1255-1271.
[14] The Goldbach-Vinogradov theorem with three primes in a thin subset, Chinese Ann. Math. Ser. B 19 (1998), 479-488.
[13] (with M.C. Liu and T.Z. Wang) The number of powers of 2 in a representation of large even integers. I, Sci. China Ser. A 41 (1998), 386-398.
[12] (with T. Zhan) exponential sums involving the Mobius function, Indag. Math. (N.S.) 7 (1996), 271-278.
[11] (with T. Zhan) Estimation of exponential sums over primes in short intervals I, Monatsh. Math. 127 (1999), 27-41.
[10] (with T. Zhan) Sums of five almost equal prime squares. II, Sci. China Ser. A 41 (1998), 710-722.
[9] (with T. Zhan) On a theorem of Hua, Arch. Math. (Basel) 69 (1997), no. 5, 375-390.
[8] (with T. Zhan) The ternary Goldbach problem in arithmetic progressions, Acta Arith. 82 (1997), no. 3, 197-227.
[7] (with T. Zhan) Estimation of exponential sums over primes in short intervals. II, Analytic number theory, Vol. 2 (Allerton Park, IL, 1995), 571-606, Progr. Math., 139, Birkhauser Boston, Boston, MA, 1996.
[6] On an error term of Chowla. III, J. Number Theory 64 (1997), 51-58.
[5] On an error term of Chowla. II, J. Number Theory 64 (1997), 36-50.
[4] On an error term of Chowla. I, J. Number Theory 64 (1997), 20-35.
[3] (with T. Zhan) A Bombieri-type mean-value theorem concerning exponential sums over primes, Chinese Sci. Bull. 41 (1996), 363-366.
[2] (with T. Zhan) On sums of five almost equal prime squares, Acta Arith. 77 (1996), 369-383.
[1] Remark on a theorem of Wolke, Arch. Math. (Basel) 65 (1995), 413-416.
刘建亚老师相关教学资源
- 山东大学威海分校教学资源
- 刘建亚老师课程教学资源
