LIU JIANYA

INDEX

• Current Address
• Education
• Overseas Research Experience
• Research Interests
• Selected Publications
• Back to Mainpage

Current Address

Jianya LIU, Ph.D
Lecturer
Department of Mathematics
Shandong University
250100 Jinan, Shandong
PR CHINA
Email:arithao@sdu.edu.cn
Present Email Address: jyliu@submaths.hku.hk

Education

• B.S: Hebei Normal University (1984)
• M.S: Ningxia University (1992), Supervisor: Professor Jingmei YE
• Ph.D: Shandong University (1995), Supervisor: Professor Chengdong PAN

Overseas Research Experience

• 1996-1998
  Department of Mathematics, The University of Hong Kong, Post-Doctoral
  Supervisor: Professor Ming-Chit Liu

Research Interests

• Goldbach conjecture and other additive problems;
• Exponential sums over prime variables;
• Mean Value of Arithmetic Functions.

Selected Publications

1. Remark on a theorem of Wolke
   Arch. Math., 65(1995), 413-416.
2. Exponential Sums involving the Mobius Function
   Indag. Mathem., New Series, vol.7, No.2 (1996), 271-278 (joint with Tao Zhan).
3. A Bombieri Type Theorem of Exponential Sums with Prime Variable
   Chin. Sci. Bull., vol.41, No.3 (1996), 193-195 (joint with Tao Zhan).
4. Estimation of Exponential Sums over Primes in Short Intervals II
   Analytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam, edited by B.C. Berndt, H.G. Diamond & A.J. Hildebrand, 571-606, Birkhauser 1996 (joint with Tao Zhan).
5. On an Error Term of Chowla I
   J. Number Theory, vol 64 (1997), 20-35.
6. On an Error Term of Chowla II
   J. Number Theory, vol 64 (1997), 36-50.
7. On an Error Term of Chowla III
   J. Number Theory, vol 64 (1997), 51-58.
8. The Ternary Goldbach Problem in Arithmetic Progressions
   Acta Arith., vol.82, No.3(1997),197-227 (joint with Tao Zhan).
9. Estimation of Exponential Sums over Primes in Short Intervals I
   Monatash. Math.(acceptedjoint with Tao Zhan)
10. On a Theorem of Hua
    Arch. Math., vol.69(1997), 375-390 (joint with Tao Zhan).
11. On Sum of Five Almost Equal Prime Squares
    Science in China (accepted, joint with Tao Zhan).