Jianya Liu
Curriculum Vitae
Family name and given name
Family name: Liu; given name: Jianya |
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Publications
[49] (with Y. Ye) Perron's formula and the prime number theorem for automorphic L-functions, Pure Appl. Math. Q., 3 (2007), 481¡ª497.
[48] A large sieve estimate for dirichlet polynomials and its applications, Annales Univ. Sci. Budapest., Sect. Comp., 27 (2007), 91-110.
[47] (with T. Zhan) The quadratic Waring-Goldbach problem, Journal of Shandong University, 42(2) (2007), 1-18.
[46] (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.
[45] (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.
[44] (with Y. Ye) Zeros of automorphic $L$-functions and noncyclic base change. Number theory, 119--152, Dev. Math., 15, Springer, New York, 2006.
[43] (with T. Zhan, G. Lv) Exponential sums over primes in short intervals, Sci. China Ser. A, 49 (2006), 611-619.
[42](with Y. K. Lau, Y. Ye) Subconvexity bounds for Rankin-Selberg L-functions
for congruence subgroups, J. Number Theory., 121 (2006), 204-223.
[41] (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.
[40] (with J. Ye) Mean-value estimates for nonlinear Weyl sums over primes,
Japan. J. Math. (N.S.), 31 (2005), 379¡ª390.
[39] (with Y. Wang, Y. Ye) A proof of Selberg's orthogonality for automorphic
L-functions, Manuscripta Math., 118 (2005), 135-149.
[38] An iterative method in the Waring-Goldbach problem, Chebyshevskii Sb., 5 (2005), 164-179.
[37] (with K.M. Tsang) Small prime solutions of ternary linear equations, Acta
Arith., 118 (2005), 79-100.
[36] (with T. Zhan) The exceptional set in Hua's theorem for three squares of primes, Acta Math. Sin. (Engl. Ser.), 21 (2005), 335-350.
[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. L¨¹) 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. Num- ber 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 XX¨¨mes Journ¨¦es Arithm¨¦tiques (Limoges, 1997). J. Th¨¦or. 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 representa- tion 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 representa- tion 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), 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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