山東大學數(shù)學學院導師:劉建亞

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山東大學數(shù)學學院導師:劉建亞

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山東大學數(shù)學學院導師:劉建亞 正文


  劉建亞,1964年生;長江學者、國家杰出青年基金獲得者;教授、博士生導師。

  學術經(jīng)歷
  2003—,山東大學數(shù)學學院,長江學者
  1999—,山東大學數(shù)學學院,教授
  1997—1999,山東大學數(shù)學學院,副教授
  1996—1999,香港大學數(shù)學系,博士后

  行政職務與學術兼職
  2003—,山東大學數(shù)學學院,院長
  2010—,天元基金領導小組,成員
  2010—,《數(shù)學文化》雜志,合作主編
  2007—,山東數(shù)學學會,理事長
  2006—,中國數(shù)學會,常務理事

  訪問經(jīng)歷
  2011.1—2011.6,洛桑聯(lián)邦理工學院,訪問教授
  2009.9—2010.9,普林斯頓高等研究院,成員
  2006.4—2006.6,普林斯頓大學,訪問學者
  2005.1—2005.5,依阿華大學,訪問教授
  2001.8—2001.12,依阿華大學,訪問教授

  學習經(jīng)歷
  1995.7,山東大學,博士學位
  1992.7,山東大學,碩士學位
  1984.7,河北師范大學,學士學位

  項目
  2011—2014,自守形式的算術與幾何,國家自然科學基金委重點項目,負責人
  2006—2009,自守形式的算術與幾何,國家自然科學基金委重點項目,負責人
  2005—2007,教育部科學技術研究重大項目,數(shù)論與密碼,負責人
  2002—2005,國家杰出青年基金,國家自然科學基金委,獨立

  論著
  60.Y.-K. Lau, Jianya Liu, and J. Wu, The first negative coefficients of symmetric square L-functions, Ramanujan J., published online: DOI 10.1007/s11139-011-9318-x
  59.Jianya Liu, Y. Qu, and J. Wu, Two Linnik-type problems for automorphic L-functions, Math. Proc. Camb. Phil. Soc. (2011), 151, 219-227.
  58.Integral points on quadrics with prime coordinates, Mh Math. DOI: 10.1007/s00605-010-0253-5.
  57.Enlarged Major Arcs in Additive Problems, Mathematical Notes 88 (2010), 395-401.
  56.(with P. Sarnak) Integral points on quadrics in three variables whose coordinates have few prime factors, Israel J. Math. 178 (2010), 393–426.
  55.(with Lau Yuk-Kam and Wu Jie) Coefficients of symmetric square L-functions, Sci. China Math. 53 (2010), no. 9, 2317–2328.
  54.(with J. Brudern, R. Dietmann and T. D. Wooley) A Birch–Goldbach theorem, Arch. Math. 94 (2010), 53–58.
  53.(with A. V. Kumchev) Sums of primes and squares of primes in short intervals, Monatsh. Math. (2009) 157, 335-363.
  52.(with Y. Wang) A theorem on analytic strong multiplicity one, J. Number Theory 129 (2009) No. 8 1874-1882.
  51.(with Y. Ye) Functoriality of automorphic L-functions through their zeros, Sci. China Ser. A, 52 (2009), 1-16.
  50.(with Y. Ye) Correlation of zeros of automorphic L-functions, Sci. China Ser. A, 51 (2008), 1147-1166.
  49.(with E. Royer and J. Wu) On a conjeture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1, Centre de Recherches Mathematiques, CRM Proceedings and Lecture Notes, 46 (2008).
  48.(with Y. Ye) Perron’s formula and the prime number theorem for automorphic L-functions, Pure Appl. Math. Q. 3 (2007), 481-497.
  47.A large sieve estimate for Dirichlet polynomials and its applications, Ann. Univ. Sci. Budapest., Sect. Comp. 27 (2007), 91-110.
  46.(with T. Zhan) The quadratic Waring-Goldbach problem, J. Shandong Univ. 42(2) (2007), 1-18.
  45.(with Y.-K. Lau, Y. Ye) Shifted convolution sums of Fourier coefficients of cusp forms, Number theory, 108–135, Ser. Number Theory Appl., 2, World Sci. Publ., Hackensack, NJ, 2007.
  44.(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.
  43.(with Y. Ye) Zeros of automorphic L-functions and noncyclic base change, Number theory, 119-152, Dev. Math., 15, Springer, New York, 2006.
  42.(with G. Lü, T. Zhan) Exponential sums over primes in short intervals, Sci. China Ser. A, 49 (2006), 611-619.

  41.[41](with Y. K. Lau, Y. Ye) Subconvexity bounds for Rankin-Selberg L-functions for congruence subgroups, J. Number Theory 121 (2006), 204-223.
  40.(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, 1-78.
  39.(with J. Ye) Mean-value estimates for nonlinear Weyl sums over primes, Japan. J. Math. (N.S.), 31 (2005), 379-390.
  38.(with Y. Wang, Y. Ye) A proof of Selberg’s orthogonality for automorphic L-functions, Manuscripta Math. 118 (2005), 135-149.
  37.An iterative method in the Waring-Goldbach problem, Chebyshevskii Sb., 5(2005), 164-179.
  36.(with K.-M. Tsang) Small prime solutions of ternary linear equations, Acta Arith. 118 (2005), 79-100.
  35.(with T. Zhan) The exceptional set in Hua’s theorem for three squares of primes, Acta Math. Sin. (Engl. Ser.), 21 (2005), 335-350.
  34.(with Y. Ye) Selberg’s orthogonality conjecture for automorphic L-functions, Amer. J. Math. 127 (2005), 837-849.
  33.(with Y. Ye) Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions, Forum Math. 17 (2005), 493-512.
  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, 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, Mh. 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), 375-390.
  8.(with T. Zhan) The ternary Goldbach problem in arithmetic progressions, Acta Arith. 82 (1997), 197-227.
  7.(with T. Zhan) Estimation of exponential sums over primes in short intervals. II, Analytic number theory, 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.

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