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山东大学数学学院导师介绍:吕广世


  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
  2006—,美国数学会《数学评论》,评论员

  访问经历
  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
  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

  论著
  48.(With J. Wu and W.G. Zhai) On a divisor problem related to the Epstein zeta-function III, Quart. J. Math. (Oxford), (2011), Doi: 10.1093/qmath/har024.
  47.On general divisor problems involving Hecke eigenvalues, Acta Mathematica Hungarica, (2011), Doi: 10.1007/s10474-011-0150-y .
  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, 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(2010),171-192.
  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 moments 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 Advance 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), 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, 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 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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