研究领域：数论
gslv@sdu.edu.cn
2001-2004，山东大学，基础数学，博士
1998-2001，山东师范大学，基础数学，硕士
1994-1998，山东师范大学，数学教育，学士
2023—，国家级领军人才、山东大学特聘教授、二级教授
2017—，山东省泰山学者特聘专家
2010—，教育部新世纪优秀人才
2009—，山东大学数学学院，教授（破格）
2008—2009，美国斯坦福大学，博士后（国家公派）
2006—2009，山东大学数学学院，副教授
2004—2006，山东大学数学学院，讲师
2014，国家自然科学奖，二等奖
2012，教育部自然科学奖，一等奖
2015，山东青年科技奖
[106] (With Q. Ma), Exponential sums with the Dirichlet coefficients of Rankin–Selberg L-functions, Monatsh. Math., 204(2024), 127-155.
[105] (With Y.J. Jiang), Correlations of multiplicative functions with coefficients of automorphic L-functions, Int. Math. Res. Not. IMRN, 2024, no. 2, 1733-1770.
[104] (With Q. Ma), Monotone chains in modulus of two classes of Dirichlet coefficients, Acta Math. Sin. (Engl. Ser.), 39(2023), 1101-1114.
[103] (With Y.J. Jiang), A survey on coefficients of automorphic L-functions, Adv. Math. (China), 52(2023), 201-223.
[102] (With Y. Jiang, J. Thorner, Z. Wang), A Bombieri-Vinogradov theorem for higher-rank groups, Int. Math. Res. Not. IMRN, 2023, no. 1, 482-535.
[101] (With Y.J. Jiang, Z.H. Wang), Möbius randomness law for GL(m) automorphic L-functions twisted by additive characters, Proc. Amer. Math. Soc., 151(2023), 475-488.
[100] (With G.W. Hu), Jutila's circle method and GL(2)×GL(2) shifted convolution sums, J. Number Theory, 242(2023), 709-724.
[99] (With Y.J. Jiang, Z.W. Wang), Averaged forms of two conjectures of Erdős and Pomerance, and their applications, Adv. Math., 409(2022), part A, Paper No. 108592, 42 pp.
[98] (With G.W. Hu), Shifted convolution sums of GL(m) cusp forms with Θ-series, Ramanujan J., 56(2021), 555-584.
[97] (With Y.J. Jiang), The generalized Bourgain-Sarnak-Ziegler criterion and its application to additively twisted sums on GL_{m}, Sci. China Math., 64(2021), 2207-2230.
[96] (With Y.J. Jiang), Cancellation in algebraic twisted sums on GL_{m}, Forum Math., 33 (2021), 1061-1082.
[95] (With Y.J. Jiang, Z.H. Wang), A Bombieri-Vinogradov theorem for number fields, Mathematika, 67(2021), 678-713.
[94] (With Y.J. Jiang, Z.W. Wang), Exponential sums with multiplicative coefficients without the Ramanujan conjecture, Math. Ann., 379 (2020), 589-632.
[93] (With G.W. Hu), Sums of higher divisor functions, J. Number Theory, 220(2021), 61-74.
[92] (With G.W. Hu), Shifted convolution sums for SL(m), Manuscripta Math., 163(2020), 375-394.
[91] (With G.W. Hu, Y.J. Jiang), The Fourier coefficients of Θ-series in arithmetic progressions, Mathematika, 66(2020), 39-55.
[90] (With Y.J. Jiang), The Bombieri-Vinogradov theorem on higher rank groups and its applications, Canad. J. Math., 72 (2020), 928-966.
[89] (With D. Wang), Shifted convolution sums of Fourier coefficients with squarefull kernel functions, Lith. Math. J., 60 (2020), 51-63.
[88] (With Y.J. Jiang), On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms, Int. J. Number Theory, 16 (2020), no. 1, 145-160.
[87] Aperiodicity of signs of Hecke eigenvalues, Monatsh. Math., 191(2020), no. 1, 187-201.
[86] On pairwise maxima of powers of Hecke eigenvalues, Acta Arith., 192 (2020), no. 3, 249-257.
[85](With Y.J. Jiang), Quantitative non-vanishing results on L-functions, Qaurt. J. Math., 70 (2019), 813-830.
[84] (With Y.J. Jiang, Y.-K. Lau, E. Royer and J. Wu),On Fourier coefficients of modular forms of half integral weight at square-free integers, Math. Z., 293 (2019), 789-808.
[83] (With P. Xi), On triple correlations of Fourier coefficients of cusp forms. II, Int. J. Number Theory, 15 (2019), 713-722.
[82](With D. Wang), Averages of shifted convolutions of general divisor sums involving Hecke eigenvalues, J. Number Theory, 199(2019), 342-351.
[81](With Y.J. Jiang), Shifted convolution sums for higher rank groups, Forum Math., 31 (2019), 361-383.
[80](With M. Lou), Triple correlations of ternary divisor functions, J. Number Theory, 198 (2019), 318-345.
[79](With Y.J. Jiang), Exponential sums formed with the Möbius function, Indag. Math. (N.S.), 30(2019), 355-364.
[78](With Y.J. Jiang), On automorphic analogues of the Möbius randomness principle, J. Number Theory, 197(2019), 268-296.
[77] (With Z. Cui and J. Wu), The Selberg-Delange method in short intervals with some applications, Sci. China Math., 62(2019), 447-468.
[76] On sum of one prime, two squares of primes and powers of 2, Monatsh. Math., 187(2018), 113-123.
[75] Exponential sums with Fourier coefficients of automorphic forms, Math. Z., 289(2018), 267-278.
[74] (With P. Xi), On triple correlations of Fourier coefficients of cusp forms, J. Number Theory, 183(2018), 485-492.
[73] (With Y.J. Jiang), Oscillations of Fourier coefficients of GL(m) Hecke-Maass forms and nonlinear exponential functions at primes, Funct. Approx. Comment. Math., 57(2017), 185-204.
[72] (With Y.J. Jiang), Exponential sums formed with the von Mangoldt function and Fourier coefficients of GL(m) automorphic forms, Monatsh. Math., 184(2017), 539-561.
[71] (With Y.J. Jiang), Fourth power moment of coefficients of automorphic L-functions for GL(m), Forum Math., 29(2017), 1199-1212.
[70](With Y.J. Jiang), On sums of Fourier coefficients of Maass cusp forms, Int. J. Number Theory, 13(2017), 1233-1243.
[69] (WithA. Sankaranarayanan), On the coefficients of triple product L-functions, Rocky Mountain J. Math., 47(2017), 553-570.
[68] (With Y.J. Jiang), Sums of coefficients of L-functions and applications, J. Number Theory, 171(2017), 56-70.
[67] Estimates for coefficients of certain L-functions, Monatsh. Math., 181(2016), 657-674.
[66] (With Y.J. Jiang and X. Yan), Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for SL(m, Z), Math. Proc. Cambridge Philos. Soc., 161(2016), 339-356.
[65] (With F. Hou and Y.J. Jiang), On exponential sums involving coefficients of L-functions for SL(3,Z) over primes, Quart. J. Math., 67 (2016), no. 2, 285-301.
[64] (With J. Wu and W.G. Zhai), Shifted convolution of cusp-forms with θ -series, Ramanujan J., 40(2016), 115-133.
[63] (With F. Hou) Oscillations of Fourier coefficients of cusp forms over primes, J. Number Theory, 159(2016), 370-383.
[62] (With Y.J. Jiang) The average order of Hecke eigenvalues of Siegel cusp forms of genus 2, Ramanujan J., 38(2015), 465-480.
[61] (With W.J. Ma) On mean values of some arithmetic functions involving different number fields, Ramanujan J., 38(2015), 101-113.
[60] (With Y.J. Jiang), Average behavior of Fourier coefficients of Maass cusp forms for hyperbolic 3-manifolds, Monatsh. Math., 178(2015), 221-236.
[59] (With A. Sankaranarayanan) Higher moments of Fourier coefficients of cusp forms,
Canad. Math. Bull., 58(2015), 548-560.
[58] Shifted convolution sums of Fourier coefficients with divisor functions, Acta Math. Hungar., 146 (2015), 86-97.
[57](With H.C. Tang) Sums of Fourier coefficients related to Hecke eigencusp forms, Ramanujan J., 37(2015), 309-327.
[56] (With Y.J. Jiang) Uniform estimates for sums of coefficients of symmetric square L-function, J. Number Theory, 148(2015), 220-234.
[55] (With Y.J. Jiang) On the higher mean over arithmetic progressions of Fourier coefficients of cusp forms, Acta Arith., 166(2014), 231-252.
[54] Sums of absolute values of cusp form coefficients and their application, J. Number Theory, 139(2014), 29-43.
[53] On averages of Fourier coefficients of Maass cusp forms, Arch. Math., 100(2013), 255-265.
[52] On higher moments of Fourier coefficients of holomorphic cusp forms II, Monatsh. Math., 169 (2013), 409-422.
[51](With H.W. Sun), The ternary Goldbach–Vinogradov theoremwith almost equal primes from the Beatty sequence, Ramanujan J., 30 (2013), 153-161.
[50] Mean values connected with the Dedekind zeta-function of a non-normal cubic field, Cent. Eur. J. Math., 11.2(2013), 274-282.
[49] (With J. Wu and W.G. Zhai) On a divisor problem related to the Epstein zeta-function III, Quart. J. Math., 63(2012), 953-963.
[48] (With J. Wu and W.G. Zhai) On a divisor problem related to the Epstein zeta-function IV, Acta Arith., 154(2012), 307-324.
[47] On general divisor problems involving Hecke eigenvalues, Acta Math. Hungar., 135(2012), 148-159.
[46] (With Y.-K. Lau and J. Wu), Integral power sums of Hecke eigenvalues, Acta Arith., 150(2011), 193-207.
[45] On higher moments of Fourier coefficients of holomorphic cusp forms, Canad. J. Math., 63(2011), 634-647.
[44] (With Z.X. Liu) Density of two squares and powers of 2, Int. J. Number Theory, 5(2011), 1317-1329.
[43] (With Y.-K. Lau) Sums of Fourier coefficients of cusp forms, Quart. J. Math., 62(2011), 687-716.
[42] On mean values of some arithmetic functions in number fields, Acta Math. Hungar., 132(2011), 348-357.
[41] (With Z.S. Yang), The average behavior of the coefficients of Dedekind zeta functions over square numbers, J. Number Theory, 131(2011), 1924-1938.
[40] (With Z.X. Liu) On unlike powers of prime and powers of 2, Acta Math. Hungar., 132(2011), 125-139.
[39] (With J. Wu and W.G. Zhai) On a divisor problem related to the Epstein zeta-function II, J. Number Theory, 131(2011), 1734-1742.
[38](With H.W. Sun) Primes in quadratic progressions on average, Acta Math. Sin. (Engl. Ser.), 27(2011), 1187-1194.
[37] (With Z.X. Liu), Two results on powers of a in Waring-Goldbach problem, J. Number Theory, 131(2011), 716-736.
[36] (With Z.X. Liu) Eight cubes of primes and powers of 2, Acta Arith., 145(2010),171-192.
[35] (With Y. H. Wang) Note on the number of integral ideals in Galois extensions, Sci. China Math., 53(2010), 2417-2424.
[34] (With H.G. Xia) Note on divisor function for quaternion algebras, J. Number theory, 130(2010), 2147-2156.
[33] On an open problem of Sankaranarayanan, Sci. China Math., 53(2010), 1319-1324.
[32] (With H.C. Tang) On some results of Hua in short intervals, Lith. Math. J., 50(2010), 54-70.
[31] On a divisor problem related to the Epstein zeta-function, Bull. London Math. Soc., 42(2010), 267-274.
[30] (With H.W. Sun) On fractional power moments of L-functions associated to certain cusp forms, Acta Appl. Math., 109(2010), 653-667.
[29] Number of solutions of certain congruences, Acta Arith., 140(2009), 317-328.
[28] The sixth and eighth moments of Fourier coefficients of cusp forms, J. Number Theory, 129(2009), 2790-2880.
[27] Uniform estimates for sums of Fourier coefficients of cusp forms, Acta Math. Hungar., 124(2009), 83-97.
[26] On sums involving coefficients of automorphic L-functions, Proc. Amer. Math. Soc.,, 137(2009), 2879-2887.
[25] (With H.W. Sun) On a generalization of Hua's theorem with five squares primes, Acta Math. Hungar., 122(2009), 273-282.
[24] Average behavior of Fourier coefficients of cusp forms, Proc. Amer. Math. Soc., 137(2009), 1961-1969.
[23] The average value of Fourier coefficients of cusp forms in arithmetic progressions, J. Number Theory, 129(2009), 488-494.
[22] Additive functions on arithmetic progressions with large moduli, J. Number Theory, 129(2009), 477-487.
[21] (With W.G. Zhai) On the representation of large integers as sums of four almost equal squares of primes, Ramanujan J., 18(2009), 1-10.
[20] (With H.W. Sun) Integers represented as the sum of one prime, two squares of primes and powers of 2, Proc. Amer. Math. Soc., 137(2009), 1185-1191.
[19] (With X.M. Meng) On sums of a prime and four prime squares in short intervals, Acta Math.Sin. (Engl.Ser.), 24(2008), 1291-1302.
[18] On sums of a prime and four squares of primes in short intervals, J. Number theory, 128(2008), 805-819.
[17] (With Y.F. Xu) Hua's theorem with nine almost equal prime variables, Acta Math. Hungar., 116(2007), 309-326.
[16] Gauss's three squares theorem with almost prime variables, Acta Arith., 128(2007), 391-399.
[15] (With H.X. Lao) On exponential sums over primes in short intervals, Monatsh. Math., 151(2007), 153-164.
[14] On Romanoff's constant and its generalized problem, Adv. Math. (China), 36(2007), 94-100.
[13] (With J.Y. Liu, T. Zhan) Exponential sums over primes in short intervals, Sci. China Ser. A, 49(2006), 611-619.
[12] Estimation of exponential sums over primes in short intervals, Acta Math. Sin., 49 (2006), 693-698.
[11] Hua's Theorem on five almost equal prime squares, Acta Math. Sin. (Engl. Ser.), 22(2006), 907-916.
[10] Note on a result of Hua, Adv. Math. (China), 35(2006), 343-349.
[9] Sums of nine almost equal prime cubes, Acta Math. Sin., 49(2006), 195-204.
[8] Hua's Theorem with five almost equal prime variables, Chinese Ann. Math. Ser. B, 26(2005), 291-304.
[7] (With W.G. Zhai) On three-dimensional divisor problem of (a,a,b) type, Adv. Math. (China), 33(2004), 195-202.
[6] (With J.Y. Liu) Four squares of primes and 165 powers of 2, Acta Arith., 114(2004), 55-70.
[5] (With W.G. Zhai) The divisor problem on the Beatty sequence, Acta Math. Sin., 47(2004), 1213-1216.
[4] (With W.G. Zhai) On the sum of multi-dimensional divisor function on special sequence, Adv. Math. (China), 32(2003), 660-664.
[3] On sums of two squares of primes and a cube of a prime, Northeast. Math. J., 19(2003), 99-102.
[2] (With W.G. Zhai) A special two-dimensional divisor problem, Chinese Pure and Applied Mathematics, 18(2002), 348-352.
[1] (With W.G. Zhai) A special divisor problem, Acta Math. Sin., 45(2002), 991-1004.
2021-2026，国家重点研发计划(2021YFA1000700)，科技部，课题负责人
2021-2025, 国家自然科学基金重点项目(12031008)，国家自然科学基金，参加人
2018-2021，国家自然科学基金面上项目(11771252)，国家自然科学基金，负责人
2016-2020，国家自然科学基金重点项目(11531008)，国家自然科学基金，参加人
2012-2015，国家自然科学基金面上项目(11171182)，国家自然科学基金，负责人
2011-2014，国家自然科学基金重点项目(11031004)，国家自然科学基金，参加人
2011-2013，山东省自然科学杰出青年基金(JQ201102)，山东省自然科学基金，负责人
2010-2012，教育部新世纪优秀人才(NCET-10-0548)，教育部，负责人
2009-2011，山东省自然科学基金面上项目(ZR2009AM007)，山东省自然科学基金，负责人
2009-2010，国家自然科学基金青年基金(10701048)，国家自然科学基金，负责人
2006-2007，国家自然科学基金天元基金(10526028)，国家自然科学基金委，独立
