Number Theory in Shandong University

Xiumin Ren

Curriculum Vitae

Family name and given name

Family name: Ren; given name: Xiumin

Address

School of Mathematics and System Sciences
Shandong University
Jinan, Shandong 250100
P. R. China
Tel.: 86-531-8836-4652
Fax: 86-531-8856-4652
Email: xmren(at)sdu.edu.cn

Education

Ph.D.: Shandong University, 2001
M.S.: Capital Normal University, 1987
B.S.: Hebei Normal University, 1984

Professional Positions

2004-: Full Professor, Shandong University
2001-2004: Post-Doctoral Fellow, The University of Hong Kong
1995-2004: Lecturer, Associate Professor (1997), Shangdong University
1987-1995: Lecturer, Ningxia University

Research Interests

Additive number theory

Grants

2006-2008: National natural science foundation
2004-2006: Foundation for the distinguished young scholars of Shandong province

Publications

[12] X.M. Ren and Kai-Man Tsang , Waring-Goldbach problem for unlike       powers, Acta. Math. Sinica., English Series. (2)23(2007), 265-280.
[11] X.M. Ren and Kai-Man Tsang , Waring-Goldbach problem for unlike
       powers (II), Acta. Math. Sinica. (Chinese Series) (1)50(2007), 175-182.
[10] Vinogradov's exponential sums over primes, Acta Arith. (3)124(2006),
      269-285.
[9] (with K.M. Tsang) On representation of integers by sums of a cube and
      three cubes of primes, Michigan Math. J.(3) 53 (2005), 571–577.
[8] On exponential sum over primes and application in Waring-Goldbach
      problem, Science in China Ser. A Mathematics(6) 48(2005), 785-797.
[7] (with K.M. Tsang) On Roth's theorem concerning a cube and three cubes of      primes,Quart. J. Math. (Oxford) 55 (2004), 357-374.
[6] (with K.M. Tsang) On a Waring-Goldbach-type problem for fourth powers,      Journal ofNumber Theory . 108(2004), 90-110.
[5] The major arcs in the ternary Goldbach problem, Acta Math. Hungar. 98 (1-2)      1, (2003), 39-58.
[4] Sums of four cubes of primes, Journal of Number Theory . 98(2003), 156-171.
[3] Density of integers that are the sum of four cubes of primes, Chin. Ann. Math.      (Ser.B) 22(2001), 233-242.
[2] The exceptional set in Roth's theorem concerning a cube and three cubes of      primes,Quart. J. Math. (Oxford) 52 (2001), 107-126.
[1] The Waring-Goldbach problem for cubes, Acta Arith. 94 (2000), 287-301.

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