Tao Zhan（展涛）
Curriculum Vitae
Family name and given nameFamily name: Zhan; given name: Tao 

Address
School of Mathematics
Shandong University
Jinan, Shandong 250100
P. R. China
Email: zhantao(at)sdu.edu.cn
Education
Ph.D.: Shandong University, 1987
M.S.: Shandong University, 1985
B.S.: Shandong University, 1983
Professional Positions
2008 2011: Professor, Jilin University
FebJuly 1996: Research Fellow, The University of Hong Kong,
supported by the Croucher Foundation
19911992: Research Fellow, University of Freiburg, Germany,
supported by the Alexander von Humboldt Foundation
1991present: Professor, Shandong University
19891991: Associate Professor, Shandong University
Special Functions
Member of Editorial Board of Acta Mathematica Sinica
2008 2011: President, Jilin University;
20002008: Chairman, Shandong Mathematical Society
20002007: Standing syndic, Chinese Mathematical Society
Jul. 2000Nov. 2008: President, Shandong University;
Mar. 1995Jun. 2000: Vicepresident, Shandong University
Apr. 1993Feb. 1995: Vicedean, School of Mathematics, Shandong University
Research Interests
Additive theory of prime numbers
Exponential sums over prime variables
BombieriVinogradov type mean value theoreoms
Riemann Zeta function and Dirichlet Lfunctions
Grants
20062008: Key project "the arithmetic and geometry of automorphic forms", by the National Natural Science Foundation
20052007: Major grant program for sciences and technology, by the Ministry of Education
Overseas Research Experience
19911992: Institute of Mathematics, University of Freiburg in Germany
Research Fellow supported by the Alexander von Humboldt Foundation in Germany.
FebJuly 1996: Department of Mathematics, The University of Hong Kong Research Fellow supported by the Croucher Foundation in Hong Kong.
Publications
[31] (with J.Y. Liu) The quadratic WaringGoldbach problem, J. Shandong University, 42(2) (2007), 118.
[30] (with J.Y. Liu and G.lv) Exponential sums over primes in short intervals. Sci. China Ser. A49 (2006), no. 5, 611619.
[29] (with J.Y. Liu) The exceptional set in Hua's theorem for three squares of primes. Acta Math. Sin. (Engl. Ser.)21 (2005), no. 2, 335350.
[28] (with J.Y. Liu and M.C. Liu) Squares of primes and powers of 2. II, J. Number Theory 92 (2002), no. 1, 99116.
[27] (with J.Y. Liu) Distribution of integers that are sums of three squares of primes, Acta Arith. 98 (2001), no. 3, 207228.
[26] (with C. Bauer and M.C. Liu) On a sum of three prime squares, J. Number Theory 85 (2000), no. 2, 336359.
[25] (with J.Y. Liu) Hua's theorem on prime squares in short intervals, Acta Math. Sin. (Engl. Ser.) 16 (2000), no. 4, 669690.
[24] (with J.Y. Liu and M.C. Liu) Squares of primes and powers of $2$, Monatsh. Math. 128 (1999), no. 4, 283313.
[23] (with J.Y. Liu) Estimation of exponential sums over primes in short intervals. I, Monatsh. Math. 127 (1999), no. 1, 2741.
[22] (with J.Y. Liu) Sums of five almost equal prime squares. II, Sci. China Ser. A 41 (1998), no. 7, 710722.
[21] (with J.Y. Liu ) The GoldbachVinogradov theorem, Number theory in progress, Vol. 2 (ZakopaneKo\'scielisko, 1997), 10051023, de Gruyter, Berlin, 1999.
[20] (with J.Y. Liu ) On a theorem of Hua, Arch. Math. (Basel) 69 (1997), no. 5, 375390.
[19] (with M.C. Liu) The Goldbach problem with primes in arithmetic progressions, Analytic number theory (Kyoto, 1996), 227251, London Math.Soc, Lecture Note Ser., 247, CambridgeUniv. Press, Cambridge, 1997.
[18] (with J.Y. Liu ) The ternary Goldbach problem in arithmetic progressions, Acta Arith. 82 (1997), no. 3, 197227.
[17] (with J.Y. Liu) Exponential sums involving the Mö bius function, Indag. Math. (N.S.) 7 (1996), no. 2, 271278.
[16] (with J.Y. Liu ) A Bombieritype meanvalue theorem concerning exponential sums over primes, Chinese Sci. Bull. 41 (1996), no. 5, 363366.
[15] (with J.Y. Liu ) On sums of five almost equal prime squares, Acta Arith. 77 (1996), no. 4, 369383.
[14] (with D. Fischer) Some almost all results concerning the PjateckiiSapiro prime numbers, A Chinese summary appears in Chinese Ann. Math. Ser. A 17 (1996), no. 4, 515, Chinese Ann. Math. Ser. B 17 (1996), no. 3, 279288.
[13] (with J.Y. Liu ) A Bombieritype mean value theorem for prime variable trigonometric sums, (Chinese) Kexue Tongbao (Chinese) 41 (1996), no. 3, 193195.
[12] (with J.Y. Liu ) Estimation of exponential sums over primes in short intervals. II, Analytic number theory, Vol. 2 (Allerton Park, IL, 1995), 571606,
Progr. Math., 39,Birkhäuser Boston, Boston, MA, 1996.
[11] (with J.F. Lin) Generalization of Bombieri's theorem and its applications,
Sci. China Ser. A 38 (1995), no. 12, 14321443.
[10] A generalization of the GoldbachVinogradov theorem, Acta Arith. 71 (1995), no. 2, 95106.
[9] (with D. Wolke) Some remarks on the binary Goldbach problem, Arch. Math. (Basel) 61 (1993), no. 3, 241249.
[8] (with D. Wolke) On the distribution of integers with a fixed number of prime factors, Math. Z. 213 (1993), no. 1, 133144.
[7] On the mean square of Dirichlet $L$functions, A Chinese summary appears in Acta Math. Sinica 36 (1993), no. 3, 432, Acta Math. Sinica (N.S.) 8 (1992), no. 2, 204224.
[6] Davenport's theorem in short intervals, A Chinese summary appears in Chinese Ann. Math. Ser. A 12 (1991), no. 5, 644, Chinese Ann. Math.Ser. B 12 (1991), no. 4, 421431.
[5] On the representation of large odd integer as a sum of three almost equal primes, A Chinese summary appears in Acta Math. Sinica 35 (1992), no. 4, 575, Acta Math. Sinica (N.S.) 7 (1991), no. 3, 259272.
[4] Distribution of $k$full integers, Sci. China Ser. A 32 (1989), no. 1, 2037.
[3] On the error function of the squarefull integers, A Chinese summary appears in Chinese Ann. Math. Ser. A 10 (1989), no. 3, 388, Chinese Ann. Math. Ser. B 10 (1989), no. 2, 227235.
[2] Bombieri's thoerem in short intervals, A Chinese summary appears in Acta Math. Scinica 33 (1989), no. 2, 287, Acta Math. Sinica (N.S.) 5 (1989), no. 1, 3747.
[1] On a theorem of Darvenport [Davenport], Chinese Quart. J. Math. 2 (1987), no. 2, 5258.
Invited Talks
[9].The GoldbachVinogradov Theorem with Restrictions on Prime Variables, 101 Years of Prime Number Theorem, Ulm, Germany 1997.
[8].On Sum of Prime Squares, International Conference in Number Theory in Honor of Professor Andrej Schinzel, Zakopane, Poland 1997.
[7].On Some Problems in the Additive Prime Number Theory, Workshop and Conference in Number Theory, Hong Kong 1996.
[6].The Goldbach Problem with Primes in Arithmetic Progressions, International Conference in Number Theory, Kyoto 1996.
[5].Estimation of Nonlinear Exponential Sums over Primes, International Conference in Number Theory in Honor of Professor Heini Halberstam, UrbanaChampaign 1995.
[4].On the Distribution of a special Class of Integers, International Conference in Number Theory, Hong Kong 1993.
[3].On Integers with a Fixed Number of Prime Factors, Annual Meeting of the Germany Mathematics Society, Berlin 1992.
[2].Some Remarks on the Binary Goldbach Problem, International Conference in Number Theory, Marseille, Luminy 1992.
[1].The GoldbachVinogradov Theorem in Short Intervals, International Conference in Number Theory, Oberwohlfach 1991.