Research Areas:Automorphic forms, L-functions, Additive number theory. 

 jyliu@sdu.edu.cn

Ph.D.: Shandong University, 1995

M.S.: Shandong University, 1992

B.S.: Hebei Normal University, 1984

2003-: Cheung Kong Professor of Mathematics, Shandong University

1999-: Professor, Shandong University

1996-1999: Post-Doctoral Fellow, The University of Hong Kong

2014: National natural science award, second class

[81] (with Wen, Ting Ting; Wu, Jie) Manin's conjecture for singular hypersurfaces, Acta Math. Sinica (Chinese Ser.) 67 (2024), no. 2, 347–356.

[80] (with Li, Jiamin) Triples of almost primes, Sci. China Math. 66 (2023), no. 12, 2779–2794.

[79] (with Ge, Liming; Wu, Jie) Foreword [Special issue on analytic number theory], Sci. China Math. 66 (2023), no. 12, 2665–2666.

[78] (with Zhao, Lilu) On forms in prime variables, Trans. Amer. Math. Soc. 376 (2023), no. 12, 8621–8656.

[77](with Kanemitsu, Shigeru; Kuzumaki, Takako)Analysis and beyond—an introduction with examples and exercises, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2021, xiii+313 pp.

[76](with Zhao, Lilu) Representation by sums of unlike powers, J. Reine Angew. Math. 781 (2021), 19–55.

[75] (with Huang, Wen; Wang, Ke) Möbius disjointness for skew products on a circle and a nilmanifold, Discrete Contin. Dyn. Syst. 41 (2021), no. 8, 3531–3553.

[74] (with Guo, Liang; Lu, Ruodan) Subsampling bias and the best-discrepancy systematic cross validation, Sci. China Math. 64 (2021), no. 1, 197–210.

[73] (with Sun, Haiwei; Ye, Yangbo) Double square moments and subconvexity bounds for Rankin-Selberg L -functions of holomorphic cusp forms

Sci. China Math. 63 (2020), no. 5, 823–844.

[72] (with Wu, Jie; Zhao, Yongqiang) On a senary quartic form,Period. Math. Hungar. 80 (2020), no. 2, 237–248.

[71](with Huang, Bingrong; Rudnick, Zeév) Gaussian primes in almost all narrow sectors, Acta Arith. 193 (2020), no. 2, 183–192.

[70] (with Wu, Jie; Xi, Ping) Primes in arithmetic progressions with friable indices, Sci. China Math. 63 (2020), no. 1, 23–38.

[69] (with de la Bretèche, Régis; Destagnol, Kevin; Wu, Jie; Zhao, Yongqiang)On a certain non-split cubic surface, Sci. China Math. 62 (2019), no. 12, 2435–2446.

[68] (with Wu, Jie; Zhao, Yongqiang) Manin's conjecture for a class of singular cubic hypersurfaces, Int. Math. Res. Not. IMRN 2019, no. 7, 2008–2043.

[67] (with Sarnak, Peter) The Möbius disjointness conjecture for distal flows. Adv. Lect. Math. (ALM), 36.International Press, Somerville, MA, 2017, 327–335.

[66](with Lau, Yuk-Kam; Wu, Jie) Local behavior of arithmetical functions with applications to automorphic L -functions. Int. Math. Res. Not. IMRN 2017, no. 16, 4815–4839.

[65] (with Sarnak, Peter) The Möbius function and distal flows. Duke Math. J. 164 (2015), no. 7, 1353–1399.

[64] (with Wu, Jie) The number of coefficients of automorphic L-functions for GL(m) of same signs. J. Number Theory 148 (2015), 429–450.

[63] (with Lau, Yuk-Kam; Wu, Jie) Sign changes of the coefficients of automorphic L-functions. Number theory; arithmetic in Shangri-La, 141–181, Ser. Number Theory Appl., 8, World Sci. Publ., Hackensack, NJ, 2013.

[62] (with Lau Yuk-Kam and Wu Jie)The first negative coefficients of symmetric square L-functions, Ramanujan J (2012) 27:419–441

[61] Enlarged Major Arcs in Additive Problems. II, Proceedings of the Steklov Institute of Mathematics, 2012, Vol. 276, pp. 176–192

[60] (with Qu, Yan; Wu, Jie) Two Linnik-type problems for automorphic L functions, Math. Proc. Cambridge Philos. Soc. 151 (2011), no. 2, 219–227.

[59] Integral points on quadrics with prime coordinates, Monatsh. Math. 164 (2011), no. 4, 439–465.

[58] A quick introduction to Maass forms. Number theory, 184–216, Ser. Number Theory Appl., 6, World Sci. Publ., Hackensack, NJ, 2010.

[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. of math., 178 (2010), 393–426.

[55] (with Lau Yuk-Kam and Wu Jie) Coefficients of symmetric square L-functions, Sci China Math, 2010, 53, doi: 10.1007/s11425-010-4046-z.

[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 automor- phic 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](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, 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), 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.