Home page of professor Xiumin Ren

Xiumin Ren

Address

Education

Professional Positions

Grants

Publications

Full Professor

Pure Mathematics

Analytic Number Theory

School of Mathematics and System Sciences

Shandong University

Jinan, Shandong 250100

P.R. China

Tel.: 86-531-8836-4652

Fax: 86-531-8856-4652

Ph.D.: Shandong University, 2001

M.S.: Capital Normal University, 1987

B.S.: Hebei Normal University, 1984

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

Additive number theory

2004-2006: Foundation for the distinguished young scholars, by Shandong province

[11] Vinogradov's exponential sums over primes, to appear in Acta Arith.

[10] (with K.M. Tsang) Waring-Goldbach problem for unlike powers, Acta

Mathematica Sinica, English Series. Pulished on line: Apr. 18, 2006.

[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 of Number 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.