山東大學數(shù)學學院導師：呂廣世 正文

　　呂廣世1975年生；教育部新世紀優(yōu)秀人才、山東省杰出青年基金獲得者；教授、博士生導師。

　　學術(shù)經(jīng)歷
　　2010—，教育部新世紀優(yōu)秀人才
　　2009—，山東大學數(shù)學學院，教授
　　2008—2009，美國斯坦福大學，博士后（國家公派）
　　2006—2009，山東大學數(shù)學學院，副教授
　　2004—2006，山東大學數(shù)學學院，講師

　　行政職務與學術(shù)兼職
　　2006—，美國數(shù)學會《數(shù)學評論》，評論員

　　訪問經(jīng)歷
　　2009.08—2009.12，南開大學陳省身數(shù)學研究所
　　2009.05—2009.06，香港大學
　　2008.11—2008.11，美國加州伯克利分校MSRI數(shù)學研究所
　　2008.10—2008.10，美國AIM數(shù)學研究所
　　2008.08—2008.09，日本近畿大學
　　2008.01—2009.01，美國斯坦福大學
　　2007.05—2007.06，意大利ICTP

　　學習經(jīng)歷
　　2004.7，山東大學，博士學位
　　2001.7，山東師范大學，碩士學位
　　1998.7，山東師范大學，學士學位

　　項目
　　2012-2015，國家自然科學基金面上項目，國家自然科學基金，負責人
　　2011—2013，山東省自然科學杰出青年基金，山東省自然科學基金，負責人
　　2010—2012，教育部新世紀優(yōu)秀人才，教育部，負責人
　　2009—2011，山東省自然科學基金面上項目，山東省自然科學基金，負責人
　　2009—2010，國家自然科學基金青年基金，國家自然科學基金，負責人
　　2006—2007，國家自然科學基金天元基金，國家自然科學基金委，獨立

　　論著
　　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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