Guangshi Lv
Curriculum Vitae
Family name and given name
Family name: L¨¹; given name: Guangshi |
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Address
School of Mathematics and System Sciences
Shandong University
Jinan, Shandong 250100
P. R. China
Tel.: 86-531-8837-7665
Email: gslv(at)sdu.edu.cn
Education
Ph.D.: Shandong University, 2004
M.S.: Shandong Normal University, 2001
B.S.: Shandong Normal University, 1998
Professional Positions
2006-: Associate Professor , Shandong University
2004-2006: Lecturer, Shandong University
Research Interests
Additive number theory, Exponential sums, Automorphic forms
Grants
2006-2007: Tianyuan Mathematics Foundation (Grant No. 10526028), by the National Natural Science Foundation
2005-2007: Young Scholars Foundation, by the School of Mathematics and System Sciences, Shandong University
Preprints
[18] On the representation of large integers as sums of four almost equal squares of primes, to appear in The Ramanujan Journal.
[17] Hua's theorem with nine almost equal prime variables, to appear in Acta
Mathematica Hungarica.
[16] On sums of a prime and four squares of primes in short intervals, to appear in Journal of Number theory.
Publications
[15] Gauss's three squares theorem with almost prime variables, Acta Arith., 128(2007), 391-399.
[14] (with H.X. Lao) On exponential sums over primes in short intervals, Monatshfte fur Mathematik, 151(2007), 153-164.
[13] On Romanoff's Constant and Its Generalized Problem, Chinese Advances in Mathematics, 36(2007), 94-100
[12] (with J.Y. Liu, T. Zhan) Exponential sums over primes in short intervals, Sci. China, 49(2006), 449-457.
[11] On the estimation of exponential sums over primes in short intervals, Acta Math. Sin. 49 (2006), 693-698.
[10] Hua¡¯s Theorem on five almost equal prime squares, Acta Math. Sin. (Engl. Ser.), 22(2006), 907-916.
[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 a 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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