吕广世1975年生；教育部新世纪优秀人才、山东省杰出青年基金获得者；教授、博士生导师。

学术经历2010—，教育部新世纪优秀人才2009—，山东大学数学学院，教授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，讲师行政职务与学术兼职2014—，德国《数学文摘》，评论员2012—，高等学校大学数学研究会，秘书长2012—，山东大学数学学院，副院长2010—，中国数学会，理事2006—，美国数学会《数学评论》，评论员访问经历2015.05—2015.05，美国伊利诺伊大学芝加哥分校2015.03—2015.03，美国依阿华大学2015.01—2015.01，印度塔塔基础研究所2014.07—2014.07，英国布里斯托尔大学2014.05—2014.05，芬兰图尔库大学2013.10—2013.11，日本九州大学2013.08—2013.08，法国洛林大学2013.07—2013.07，台湾大学2013.07—2013.07，越南高等研究院2012.07—2012.08，德国亚琛工业大学2012.06—2012.06，香港大学2009.08—2009.12，南开大学陈省身数学研究所2009.05—2009.06，香港大学2008.11—2008.11，美国加州伯克利分校MSRI数学研究所2008.10—2008.10，美国AIM数学研究所2008.08—2008.09，日本近畿大学2008.01—2009.01，美国斯坦福大学2007.05—2007.06，意大利ICTP学习经历2004.7，山东大学，博士学位2001.7，山东师范大学，硕士学位1998.7，山东师范大学，学士学位项目2016-2020，国家自然科学基金重点项目，国家自然科学基金，参加人2011-2014，国家自然科学基金重点项目，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，国家自然科学基金，负责人2011—2013，山东省自然科学杰出青年基金，山东省自然科学基金，负责人2010—2012，教育部新世纪优秀人才，教育部，负责人2009—2011，山东省自然科学基金面上项目，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，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，国家自然科学基金委，独立2011年获教育部自然科学一等奖（第二完成人）2014年获国家自然科学二等奖（第三完成人）论著(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.(With F. Hou) Oscillations of Fourier coefficients of cusp forms over primes, J. Number Theory, 148 (2015), 220–234.(With Y.J. Jiang) Average behavior of Fourier coefficients of Maass cusp forms for hyperbolic 3-manifolds, Monatshfte fur Mathematik, 178 (2015), 221–236.Shifted convolution sums of Fourier coefficients with divisor functions, Acta Math. Hungar., 146 (2015), 86–97.(With A. Sankaranarayanan) Higher moments of Fourier coefficients of cusp forms, Canadian Mathematical Bulletin, 58 (2015), no. 3, 548–560.(With H.C. Tang) Sums of Fourier coefficients related to Hecke eigencusp forms, The Ramanujan Journal, 37(2015), 309-327.(With Y.J. Jiang) On the higher mean over arithmetic progressions of Fourier coefficients of cusp forms, Acta Arith., 166(2014), 231-252.(With Y.J. Jiang) Uniform estimates for sums of coefficients of symmetric square L-function, Journal of Number Theory, 148(2015), 220–234.(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.(With W.J. Ma) On mean values of some arithmetic functions involving different number fields, The Ramanujan Journal, 38(2015) , 101–113.Sums of absolute values of cusp form coefficients and their application, Journal of Number Theory, 139(2014), 29-43.On averages of Fourier coefficients of Maass cusp forms, Archiv der Mathematik, 100(2013), 255–265.Mean values connected with the Dedekind zeta-function of a non-normal cubic field, Central European Journal of Mathematics, 11.2(2013), 274-282.(With H.W. Sun), The ternary Goldbach–Vinogradov theoremwith almost equal primes from the Beatty sequence, The Ramanujan Journal, 30 (2013), 153–161.On higher moments of Fourier coefficients of holomorphic cusp forms II, Monatshfte fur Mathematik, 169 (2013), 409–422.(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.(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.On general divisor problems involving Hecke eigenvalues, Acta Math. Hungar., 135(2012), 148-159.(With Y.-K. Lau and J. Wu) Integral power sums of Hecke eigenvalues, Acta Arith., 150.2(2011), 193-207.(With Y.-K. Lau) Sums of Fourier coefficients of cusp forms, Quart. J. Math. (Oxford), 62(2011), 687-716.(With Z.X. Liu) Density of two squares and powers of 2, International Journal of Number Theory, 5(2011), 1317-1329.On mean values of some arithmetic functions in number fields, Acta Mathematica Hungarica, 132(2011), 1924-1938.(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.(With H.W. Sun) Primes in quadratic progressions on average, Acta Math.Sin. (Engl. Ser.), 27(2011), 1187-1194.(With J. Wu and W.G. Zhai) On a divisor problem related to the Epstein zeta-function II, 131(2011), 1734-1742.(With Z.X. Liu) On unlike powers of prime and powers of 2, Acta Mathematica Hungarica, 132(2011), 125-139.(With Z.X. Liu) Two results on powers of a in Waring-Goldbach problem, Journal of Number Theory, 131(2011), 716-736.On higher moments of Fourier coefficients of holomorphic cusp forms, Canadian Journal of Mathematics, 63(2011), 634-647.(With Z.X. Liu) Eight cubes of primes and powers of 2, Acta Arith., 145(2010),171-192.(With Y. H. Wang) Note on the number of integral ideals in Galois extensions, Science China: Mathematics, 53(2010), 2417-2424.(With H.G. Xia) Note on divisor function for quaternion algebras, Journal of number theory, 130(2010), 2147-2156.On a divisor problem related to the Epstein zeta-function, Bulletin of the London Mathematical Society, 42(2010), 267-274.(With H.C. Tang) On some results of Hua in short intervals, Lithuanian Mathematical Journal, 50(2010), 54-70.(With H.W. Sun) On fractional power moments of L-functions associated to certain cusp forms, Acta Appl Math., 109(2010), 653-667.Number of solutions of certain congruences, Acta Arith., 140.4(2009), 317-328.The sixth and eighth moments of Fourier coefficients of cusp forms, Journal of Number Theory, 129.11(2009), 2790-2880.On an open problem of Sankaranarayanan, Science in China Series A: Mathematics, 39.8(2009), 1023-1028.Uniform estimates for sums of Fourier coefficients of cusp forms, Acta Mathematica Hungarica, 124.1-2(2009),83-97.On sums involving coefficients of automorphic L-functions, Proceedings of the AMS, 137.9(2009), 2879-2887.Average behavior of Fourier coefficients of cusp forms, Proceedings of AMS, 137.6(2009), 1961-1969.(With H.W. Sun) On a generalization of Hua’s theorem with five squares primes, Acta Mathematica Hungarica, 122.3(2009), 273-282.(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.(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.The average value of Fourier coefficients of cusp forms in arithmetic progressions, Journal of Number Theory, 129(2009), 488-494.Additive functions on arithmetic progressions with large moduli, Journal of Number Theory, 129(2009), 477-487.(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.On sums of a prime and four squares of primes in short intervals, Journal of Number theory, 128(2008), 805-819.(With Y.F. Xu) Hua’s theorem with nine almost equal prime variables, Acta Mathematica Hungarica, 116(2007), 309-326.Gauss’s three squares theorem with almost prime variables, Acta Arith., 128(2007), 391-399.(With H.X. Lao) On exponential sums over primes in short intervals, Monatshfte fur Mathematik, 151(2007), 153-164.On Romanoff’s Constant and Its Generalized Problem, Chinese Advance in Mathematics, 36(2007), 94-100.(With J.Y. Liu, T. Zhan) Exponential sums over primes in short intervals, Sci. China, 49(2006), 449-457.On the estimation of exponential sums over primes in short intervals, Acta Math. Sin. 49 (2006), 693-698.Hua’s Theorem on five almost equal prime squares, Acta Math. Sin. (Engl. Ser.), 22(2006), 907-916.Note on a result of Hua, Chinese Advances in Mathematics, 35(2006), 343-348.On sums of nine almost equal prime cubes, Acta Math. Sin., 49(2006), 195-204.Hua’s Theorem with five almost equal prime variables, Chinese Ann. Math. Ser. B, 26(2005), 291-304.(With W.G. Zhai) On three-dimensional divisor problem of (a,a,b) type, Chinese Advances in Mathematics, 33(2004), 195-202.(With J.Y. Liu) Four squares of primes and 165 powers of 2, Acta Arith., 114(2004), 55-70.(With W.G. Zhai) The divisor problem on the Beatty sequence, Acta Math. Sin., 47(2004), 1213-1216.(With W.G. Zhai) On the sum of multi-dimensional divisor function on special sequence, Chinese Advances in Mathematics, 32(2003), 660-664.On sums of two squares of primes and a cube of a prime, Northeastern Mathematics Journal, 19(2003), 99-102.(With W.G. Zhai) A special two-dimensional divisor problem, Chinese Pure and Applied Mathematics, 18(2002), 348-352.(With W.G. Zhai) A special divisor problem, Acta Math. Sin., 45(2002), 991-1004.已毕业研究生 （以入学时间为序）博士研究生：

硕士研究生：

在读研究生（以入学时间为序）博士研究生：

硕士研究生：孟宪昌、王迎美、侯飞、马文骏、魏萍、蒋玉蛟

个人主页：http://www.prime.sdu.edu.cn/researchgroup/GuangshiLv.htm

curmudgeon243
misproportion773
contrapuntist660
nacre842
unostentatious024
retable864
indefectibility970