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    翟文广

     

    民族: 汉  性别:男  教授,博士生导师

     

    Email: zhaiwg@hotmail.comwgzhai@163.com

     

     

    一、教育背景

     

    119879月—19917月,山东大学数学系,理学学士

    219919月—19967月,山东大学数学系,理学博士(硕博连读)

    3200110月—20039月,日本名古屋大学多元数理科学研究科,博士后

       

     

    二、工作经历

     

    119967月—199711月,山东师范大学数学系,讲师

    2199712月—199911月,山东师范大学数学系,副教授

    3199912--20107月,山东师范大学数学科学学院,教授

    420108月至今,中国矿业大学(北京)理学院,教授

       

     

    三、学术兼职

     

    120013月至今,《数学评论》评论员

    220055月至今,西北大学博士生导师

    320101月至今,《纯粹数学与应用数学》编委

    420151月至今,《数学进展》编委

       

     

    四、学术研究

     

        研究方向:解析数论

     

        研究项目

     

          1.主持科研项目·      

     

    [6]2012.012015.12, 国家自然科学基金:一般除数问题的若干问题(项目编号:11171344)

    [5]2008.012010.12,国家自然科学基金:解析数论中若干重要余项的积分均值(项目编号:10771127)

    [4]2006.012008.12, 山东省自然科学基金:平面原整点问题(编号:Y2006A31)

    [3]2005.012005.12, 国家留学基金委留学回国人员项目:平面原整点问题

    [2]2004.012006.12, 国家自然科学基金:多维指数和估计与离散Hardy-Littlewood方法(项目编号:10301018)

    [1]1999.012001.12,山东省自然科学基金:指数和估计与整点问题(编号:Q98A02110

           2.参加科研项目

     

    [4]2011.012013.12, 北京市自然科学基金项目:非对称除数问题(编号:1112010)

    [3]2009.012009.12,国家自然科学基金委天元基金:自守L函数与零点密度估计(编号:10826028)

    [2]1999.012001.12,国家自然科学基金:素变数丢番图逼近(项目编号:19801021)

    [1]1998.012000.12, 山东省自然科学基金:三角和估计及其应用

           

    主要学术论文

     

    [35](with Jie Wu), Distribution of Hecke Eigenvalues of newforms in short intervals, Q.J. Math., 64, 619-644, 2013.

    [34](withDeyu Zhang),  On the Mean Value of the Index of Composition of an Integral Ideal(II), J. Number Theory, 133, 10861110, 2013.

    [33]( with Kai-Man Tsang), Sign changes of the error term in Weyls law for Heisenberg manifolds, Transaction of AMS., 364(5), 2647-2666, 2012.

    [32](withXiaodong Cao), On the Mean Square of the Error Term for the Asymmetric Two-dimensional Divisor Problem(I),Monatsh. Math.,159(1-2), 185209, 2010.

    [31](withAleksandarIvic),Higher moments of the error term in the divisor problem,Mathematical Notes, 88(3-4), 338-346,2010.

    [30](withDeyu Zhang andMeimeiLv),On the mean value of the index of composition of an integer II, IJNT, Vol.9(2013), 431-445.

    [29](withXiaodong Cao, Jun Furuya and Yoshio Tanigawa), A generalized divisor problem and the sum of Chowla and Walum, JMAA, Vol. 400(2013), 15-21.

    [28](withRutingGuo),Some problems about the ternary quadratic formm1^2+ m2^2+ m3^2, ActaArithmetica, 156(2), 101-121, 2012.

    [27](withI.Kiuchi and Yoshio Tanigawa), Analytic Properties of Double Zeta-functions, Indag. Math., 21(1-2), 1629, 2011.

    [26]( withGuangshiLü and Jie Wu) On a Divisor Problem Related to the Epstein Zeta-Function (II),J. Number Theory, 131(9), 17341742, 2011.

    [27]Cao, Xiaodong; Furuya, Jun; Tanigawa, Yoshio; Zhai, Wenguang On the differences between two kinds of mean value formulas of number-theoretic error terms. Int. J. Number Theory 10 (2014), no. 5, 11431170. 11N37

    [26]Ivi?, Aleksandar; Zhai, Wenguang On the Dirichlet divisor problem in short intervals. Ramanujan J. 33 (2014), no. 3, 447465.  

    [25](with Deyu Zhang) On the mean value of the index of composition of an integral ideal, Journal of Number  Theory 131 (2011), 618633.   

    [24](with Deyu Zhang) On the fifth-power moment of (x), Int. J of Number Theory, Vol. 7(2011), 71-86.  

    [23](with Xiaodong Cao, Yoshio Tanigawa), On a conjecture of Chowla and Walum,Scin.China Math.53 (2010), no.2755-2771.  

    [22](with Jun Furuya, Yoshio Tanigawa), Dirichlet series obtained from the error term in the Dirichlet divisor problem, Monatsh Math.160 (2010), no. 4,385-402  

    [21](with Xiaodong Cao), On the mean square of the error term for the asymmetric two-dimensional divisor problems, Monatsh Math.160 (2010),  no. 4,115-142.  

    [20](with Deyu Zhang), Mean values of a gcd-sum function over regular integers modulo n, J.Tnteger Seq.13 (2010), no. 4,Article 10.4.7, 11 pp.  

    [19](with Xiaodong Cao)Some arithmetic functions involving exponential divisors, J.Tnteger Seq.13 (2010),no. 3,Article 10.3.7, 13 pp.  

    [18](with Xiaodong Cao)On the mean square of the error term for the asymmetric two-dimensional divisor problem, Monatsh Math.159 (2010), no. 1-2,185-209.

    [17](with Lingling Dong ) ON the distribution of {x/p}(in Chinese)Acta Math. Sinica52 (2009), no, 3.569-578.  

    [16]On the prime power factorization of n!, J. Number Theory 129 (2009), no, 8.1820-1836.            

    [15]On the simultaneous distribution of the fractional parts of different powers of prime numbers, J. Number Theory 86 (2001), no. 1, 133--155   

    [14]On the average number of unitary factors of finite abelian groups. II, Acta Math. Sin. (Engl. Ser.) 16 (2000), no. 4, 549--554  

    [13](with Xiaodong Cao)On the distribution of r-full and l-free integers in short intervals, Monatsh. Math. 130 (2000), no. 1, 7184  

    [12](with Xiaodong Cao)]Multiple exponential sums with monomials, Acta Arith. 92 (2000), no. 3, 195213  

    [11]On a system of two Diophantine inequalities with prime numbers, Acta Arith. 92 (2000), no. 1, 31--46  

    [10]On the k-dimensional Piatetski-Shapiro prime number theorem, Sci. China Ser. A 42 (1999), no. 11, 1173--1183   

    [9]On sums and differences of two coprime k-th powers, Acta Arith. 91 (1999), no. 3, 233--248 ?  

    [8]The additive completion of k-th powers, J. Number Theory 79 (1999), no. 2, 292300  

    [7]On the average number of direct factors of finite abelian groups. II, Acta Arith. 90 (1999), no. 1, 69--78   

    [6](with Xiaodong Cao)On the number of coprime integer pairs within a circle, Acta Arith. 90 (1999), no. 1, 1--16  

    [5] A note on a result of Abercrombie, Chinese Sci. Bull. 42 (1997), no. 14, 1151--1154  

    [4](with Xiaodong Cao)On the average number of direct factors of finite abelian groups, Acta Arith. 82 (1997), no. 1, 45--55 ?  

    [3]Reciprocal sums of a class of additive functions in short intervals, Chinese Sci. Bull. 42 (1997), no. 2, 102105  

    [2] On a multiplicative hybrid problem, Acta Arith. 71 (1995), no. 1, 47--53  

    [1]On the distribution of {x/n}. II, Chinese Sci. Bull. 41 (1996), no. 1, 15

         短期访问或学术会议

     

    1.200111月,京都大学数理研究所:解析数论会议

    2.200112月, 近畿大学九州工学部

    3.20025月, 明治学院大学

    4.20029月, 近畿大学九州工学部

    5.200210月,京都大学数理研究所:解析数论会议

    6.20035月, 明治学院大学

    7.20043月,第3次中日数论会议,西安

    8.200412月,香港中文大学:ICCM98

    9.20068月,第4次中日数论会议,威海

    10.20072月中旬, 名古屋大学多元数理科学研究科

    11.20084月中旬, 香港大学数学系

    12.20085月下旬, 中科院晨兴中心,北京

    13.20088月下旬,第5次中日数论会议:日本大阪

    14.20089月上旬, 名古屋大学多元数理科学研究科

    15.20099-12月, 中科院晨兴中心,北京

    16.20102月中旬, 名古屋大学多元数理科学研究科

    17. 20118月,第6次中日数论会议:上海

    18.20123月,东京大学

    19.201210月,第6届全国数论会议:西安

    20.201211月,第7次中日数论会议:日本福冈

    21. 20138月,香港大学数学系

    22. 20146月,主办“解析数论与密码学研讨会”,北京

    23. 201410月,中韩数论会议:三亚

    24. 201410月,Workshop on number theory: 西安

    25. 20152月,法国洛林大学,短期访问。

    26. 20155月, 济南,全国第7届数论会议。

    27. 201511月,上海,全国解析数论会议。