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Biographical and Personal
Information:
E-mail: mxianmeng@sina.com
Tel.: 86-531-88363873
Education:
B.S.: Mathematics
Department , Jilin University, 1993.
M.S.: Mathematics
Department , Shandong University, 1996.
Ph.D.: Mathematics
Department , Shandong University, 2002.
Research Interest:
Additive theory of prime numbers
RSA and factorization
Lattice
Professional Positions:
2002-2006, Associate Professor, Shandong University of Finance
2006-2009, Post-doctor, Shandong University
2006-present, Professor, Shandong University of Finance
Publications:
- Xianmeng Meng,
Cryptanalysis of RSA with Small Prime
Combination. ICISC 2010.
- Xianmeng Meng, On
linear equations with prime variables of special
type. Journal of Number Theory 129 (2009), no.
10, 2504--2518.
- Xianmeng Meng
(with Q. Cheng, C. Sun and J.Z. Chen), Bounding
the Sum of Square Roots via Lattice Reduction.
Mathematics of Computation, vol. 79, no. 270,
pp. 1109-1122.
- Xianmeng Meng
(with J.G. Bi), Weak Keys in RSA With Primes
Sharing Least Significant Bits. Inscrypt 2009,
LNCS 6151, pp. 278¨C287, 2010.
- Xianmeng Meng,
Linear Equations with Small Prime and Almost
Prime Solutions, Canadian Mathematical Bulletin,
51 (2008), no. 3, 399-405.
- Xianmeng Meng
(with G.S. L¨¹), On sums of a prime and four
prime squares in short intervals, Acta Math.
Sin. (Engl. Ser.) 24 (2008), 1291--1302.
- Xianmeng Meng
(with Z. Cui), On Hua's five prime squares
theorem with one prime in arithmetic
progressions. (Chinese) Acta Math. Sinica (Chin.
Ser.) 51 (2008), no. 2, 209--218.
- Xianmeng Meng, A
mean value theorem on the binary Goldbach
problem and its application. Monatsh. Math. 151
(2007), no. 4, 319--332.
- Xianmeng Meng
(with M. Q. Wang), On additive problems with
prime numbers of special type. Demonstratio
Math. 40 (2007), no. 2, 271--287.
- Xianmeng Meng,
The Goldbach problems with prime numbers of
special type. (Chinese) Acta Math. Sinica (Chin.
Ser.) 50 (2007), no. 2, 255¡ª260.
- Xianmeng Meng
(with M. Q. Wang), A hybrid of theorems of
Goldbach and Piatetski-Shapiro, Chin. Ann.
Math., 27B (2006), 341-352.
- Xianmeng Meng
(with M. Q. Wang), The exceptional set in the
two prime squares and a prime problem. Acta
Math. Sin. (Engl. Ser.) 22 (2006), 329--1342.
- Xianmeng Meng, On
five prime squares theorem in short intervals,
Acta Math. Sin. ,40 (2006), 405-420. (In
Chinese)
- Xianmeng Meng, On
sums of five squares with a fixed number of
prime factors, Acta Math. Sin., 49 (2006),
119-128. (In Chinese)
- Xianmeng Meng, On
sums of three integers with a fixed number of
prime factors, Journal of Number Theory, 114
(2005), 37-65.
- XianMeng Meng, On
sums of a prime and four prime squares in short
intervals, Acta Math. Hungary£¬105 (2004),
261-283.
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