Events & News


Guangshi Lü (吕广世)

Curriculum Vitae

Family name and given name

Family name: Lü

Given name: Guangshi

Contact  Information

School of Mathematics
Shandong University
Jinan, Shandong 250100
P. R. China
Tel.: 86-531-8836-4377
Email: gslv(at)sdu.edu.cn


Ph.D.: Shandong University, 2004
M.S.: Shandong Normal University, 2001
B.S.: Shandong Normal University, 1998


2009.12—:  Full Professor, Shandong University
2006.09-2009.12: Associate  Professor, Shandong University
2004.08-2006.09: Assistant  Professor, Shandong University

Research Interests

Additive number  theory, automorphic forms, L-function, exponential sums.


2. The second prize of the state natural science  award, by the  State Council of the People's Republic of China, 2014. (The third achiever)
        1. The first class award of natural sciences, by the Ministry of Education of the People's Republic of China, 2011.(The second achiever)


[10] 2016-2020: Member of the Key Project of National Natural Foundation (Grant No.11531008), by the National Natural Science Foundation.
[9] 2012-2015: National Natural Foundation (Grant No. 11171182), by the National Natural     Science Foundation.
[8] 2011-2014: Shandong Province Natural Science Foundation for distinguished Young Scholars(Grant No. JQ201102), by Shandong Province Natural Science Foundation.
[7] 2010-2012: Program for New Century Excellent Talents in University (Grant No. NCET-10-0548), by the Ministry of Education.
[6] 2011-2014: Member of the Key Project of National Natural Foundation (Grant No.11031004), by the National Natural Science Foundation.
[5] 2010-2012: Independent Innovation Foundation of Shandong University, by Shandong University.
[4] 2009-2011: Shandong Province Natural Science Foundation (Grant No. ZR2009AM007), by Shandong Province Natural Science Foundation.
[3] 2008-2010: National Natural Foundation (Grant No. 10701048), by the National Natural     Science Foundation.
[2] 2006-2007: Tianyuan Mathematics Foundation (Grant No. 10526028), by the  National Natural Science Foundation.
[1] 2005-2007: Young Scholars Foundation, by School of Mathematics, Shandong University.

Short Term Visits

[38] May 1-6, 2015, University of Illinois at Chicago,  USA.
[37] March 8-28, 2015,University of Iowa, USA.
[36] Jan. 4-9, 2015, Discussion meeting on analytic  number theory, Tata Institute of Fundamental Research, India.
[35] Aug. 27-31, 2014, Heilongjiang University,  Harbin.
[34] July 30-Aug. 19, 2014, Taiwan University, Taipei.
[33] July 20-28, 2014, 2014, Workshop on Number  Theory, MCM, Beijing.
[32] July 6-11, 2014, 2nd EU/US Workshop on  Automorphic Forms and Related Topics, University of Bristol, UK.
[31] June 13-15, 2014, Workshop on number theory  and cryptography, China University of Mining and Technology (Beijing), Beijing.
[30] May 25- 30, 2014, Analytic Number Theory  Workshop, University of Turku, Finland.
[29] Mar. 24-28, 2014, Explicit Theory of  Automorphic Forms, Tongji University, Shanghai.
[28] Oct. 27-Nov. 1, 2013, Kyushu University,  Fukuoka, Japan.
[27] Oct. 12-14, 2013, Shanxi University, Taiyuan,  Shanxi.
[26] Aug. 9-15, 2013, Institut Elie Cartan Lorraine,  Universit′e de Lorraine, Nancy, France.
[25] July 30-Aug. 3, 2013, Lanzhou University,  Lanzhou, Gansu.
[24] July  22-26, 2013, Pan Asian Number Theory Conference 2013, Hanoi, Vietnam.
[23] July 15-20, 2103, The Sixth International  Congress of Chinese Mathematicians, Taiwan University, Taipei.
[22] Oct. 19-22, 2012, The 6th National Number Theory  Conference, Xi'an, Shaanxi.
[21] Sep. 16-19, 2012, Jilin University, Changchun,  Jilin.
[20] Aug. 30-Sep. 2, 2012, Northwest University,  Xi'an, Shaanxi.
[19] July 30-Aug. 11, 2012, RWTH Aachen University, Aachen, Germany.
[18] June 18-22, 2012, The University of Hong Kong,  Hongkong.
[17] May 2012, Xiamen University, Xiamen, Fujian.
[16] Nov. 10-17, 2011, Sichuan University, Chengdu,  Sichuan.
[15] Aug. 14-18, 2011, Shanghai Jiao Tong  University, Shanghai
[14] June 19-26, 2011, Northwest University, Xi'an
[13] Dec. 26-29, 2010, The 5th National Number  Theory Conference, Zhaoqing,           Guangdong
[12] May 17-22, 2010, The First Joint Meeting of  the CMS and the KMS,       Southwest University, Chongqing
[11] May 1-3, 2010, Number Theory, Combinatorics and Their Interactions,        Luoyang Normal University, Luoyang
[10] Aug.-Dec. 2009, Chern Institute of Mathematics, Nankai University, Tianjin
[9] May 2009, The University of Hong Kong
[8] Nov. 3-Nov. 7 2008, MSRI, UC Berkeley, USA
[7] Nov. 2008, AIM, Palo Alto, California, USA
[6] Aug. 30-Sep. 3 2008, Kinki University, Japan
[5] Dec. 28, 2007-Dec. 31 2008, Stanford University, USA
[4] Sep. 2007, Nanjing Normal University
[3] May 2007, School and Conference on Analytic Number Theory, ICTP, Italy
[2] Jul.-Aug. 2006, The Hong Kong University of Science and Technology
[1] Aug. 2005, Zhejiang University


[64] (With J. Wu and W.G. Zhai), Shifted  convolution of cusp-forms with θ -series, The Ramanujan Journal, DOI 10.1007/s11139-015-9678-8.
[63] (With F. Hou)Oscillations of Fourier coefficients of cusp forms  over primes, J. Number Theory, 148 (2015), 220–234.
[62] (With Y.J. Jiang) Average behavior of Fourier coefficients of Maass  cusp forms for hyperbolic 3-manifolds, Monatshfte   fur Mathematik, 178 (2015), 221–236.
[61] Shifted convolution sums of Fourier  coefficients with divisor functions, Acta  Math. Hungar., 146 (2015), 86–97.
[60] (With A. Sankaranarayanan) Higher moments of  Fourier coefficients of cusp forms,Canadian  Mathematical Bulletin, 58 (2015), no. 3, 548–560.
[59](With H.C. Tang) Sums of Fourier coefficients  related to Hecke eigencusp forms, The  Ramanujan Journal, 37(2015), 309-327.
[58] (With Y.J. Jiang) On the higher mean over  arithmetic progressions of Fourier coefficients of cusp forms, Acta Arith.,166(2014), 231-252.
[57] (With Y.J. Jiang) Uniform estimates for sums  of coefficients of symmetric square L-function, Journal of Number Theory, 148(2015), 220–234.
[56] (With Y.J. Jiang) The average order of Hecke  eigenvalues of Siegel cusp forms of genus 2, The Ramanujan Journal, 38 (2015), no. 3, 465–480.
[55] (With W.J. Ma) On mean values of some  arithmetic functions involving different number fields, The Ramanujan Journal, 38(2015) , 101–113.
[54] Sums of absolute values of cusp form coefficients  and their application, Journal of Number  Theory, 139(2014), 29-43.
[53] On averages of Fourier coefficients of Maass cusp  forms, Archiv der Mathematik,  100(2013), 255–265.
[52] Mean values connected with the Dedekind  zeta-function of a non-normal cubic field, Central European Journal of  Mathematics, 11.2(2013), 274-282.
[51] (With H.W. Sun), The ternary  Goldbach–Vinogradov theoremwith almost equal primes from the Beatty sequence, The Ramanujan Journal, 30 (2013),  153–161.
[50] On higher moments of Fourier coefficients of  holomorphic cusp forms II, Monatshfte  fur Mathematik, 169 (2013),  409–422.
[49] (With J. Wu and W.G. Zhai) On a divisor problem  related to the Epstein zeta-function IV, Acta  Arith., 154.3(2012), 307-324.
[48] (With J. Wu and W.G. Zhai) On a divisor  problem related to the Epstein zeta-function III, ?Quart.  J. Math. (Oxford), 63 (2012),  953–963.
[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., 150.2(2011), 193-207.
[45] (With Y.-K. Lau) Sums of Fourier coefficients  of cusp forms, to appear in           Quart. J. Math. (Oxford), 62(2011), 687-716.
[44] (With Z.X. Liu) Density of two squares and  powers of 2, International Journal   of Number Theory, 5(2011), 1317-1329.
[43] On mean values of some arithmetic functions in  number fields, Acta       Mathematica  Hungarica, 132(2011), 1924-1938.
[42] (With Z.S. Yang), The average behavior of the  coefficients of Dedekind zeta   functions over square numbers, Journal of Number  Theory, 131(2011),1924-1938.
[41]  (With H.W. Sun) Primes in  quadratic progressions on average, Acta Math.Sin.   (Engl.Ser.), 27(2011),  1187-1194.
[40] (With J. Wu and W.G. Zhai) On a  divisor problem related to the Epstein zeta-    function II, 131(2011),  1734-1742.
[39] (With Z.X. Liu) On unlike powers of prime  and? powers of 2, Acta Mathematica Hungarica, 132(2011), 125-139.
[38] (With Z.X. Liu), Two results on powers of a in  Waring-Goldbach problem, Journal of Number Theory, 131(2011), 716-736.
[37] On higher moments of Fourier coefficients of holomorphic cusp  forms, Canadian Journal of Mathematics, 63(2011), 634-647. 
[36] (With Z.X. Liu) Eight  cubes of primes and powers of 2, Acta Arith., 145
[35] (With Y. H. Wang) Note on the number of integral ideals in Galois extensions, Science China: Mathematics, 53(2010), 2417-2424.
[34] (With H.G. Xia) Note on divisor function for quaternion algebras, Journal of  number theory, 130(2010), 2147-2156.
[33] On a divisor problem related to the Epstein zeta-function, Bulletin of the London Mathematical Society, 42(2010), 267-274.
[32] (With H.C. Tang) On some results of Hua in short intervals, Lithuanian Mathematical Journal, 50(2010), 54-70.
[31] (With H.W. Sun) On fractional power moments of L-functions associated to certain cusp forms, Acta Appl Math., 109(2010), 653-667.
[30] Number of solutions of certain congruences, Acta Arith., 140.4(2009), 317-328.
[29] The sixth and eighth moment of Fourier coefficients of cusp forms, Journal   of Number Theory, 129.11(2009), 2790-2880.
[28] On an open problem of Sankaranarayanan, Science in China Series A: Mathematics, 39.8(2009), 1023-1028.
[27] Uniform estimates for sums of Fourier coefficients of cusp forms,Acta Mathematica Hungarica, 124.1-2(2009), 83-97.
[26] On sums involving coefficients of automorphic L-functions, Proceedings of the AMS, 137.9(2009), 2879-2887.
[25] Average behavior of Fourier coefficients of cusp  forms, Proceedings of AMS, 137.6(2009), 1961-1969.
[24] (With H.W. Sun) On a generalization of Hua's theorem with five squares primes, Acta Mathematica Hungarica, 122.3(2009), 273-282.
[23] (With W.G. Zhai) On the representation of large integers as sums  of four almost equal squares of primes, The Ramanujan Journal, 18(2009), 1-10.
[22] (With H.W. Sun) Integers represented as the sum of one prime, two squares
 of primes and powers of 2, Proceedings of AMS, 137.4(2009), 1185-1191.
[21] The average value of Fourier coefficients of  cusp forms in arithmetic progressions, Journal of Number Theory, 129(2009), 488-494.
[20] Additive functions on arithmetic progressions  with large moduli, Journal of
 Number Theory, 129(2009), 477-487.
[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, Journal  of Number theory, 128(2008), 805-819.
[17] (With Y.F. Xu) Hua's theorem with nine almost  equal prime variables, Acta  Mathematica Hungarica, 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, Monatshfte  fur Mathematik, 151(2007),  153-164.
[14] On Romanoff's Constant and Its Generalized Problem, Chinese Advances in Mathematics, 36(2007), 94-100.
[13] (with J.Y. Liu, T. Zhan) Exponential sums over primes in short intervals, Sci. China, 49(2006), 449-457.
[12] On the 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, Chinese Advances in  Mathematics, 35(2006), 343-348.
[9] On sums of nine almost equal prime cubes, Acta Math. Sin., 49(2006),
[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,Chinese Advances in Mathematics, 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 a special sequence, Chinese Advances in Mathematics, 32(2003), 660-664.
[3] On sums of two squares of primes and a cube of a prime, Northeastern Mathematics Journal, 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.

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