刘治国

椭圆函数理论、 基本超几何级数理论、数论

代表性的学术论文：

1. Liu‚ Zhi-Guo‚ An addition formula for the Jacobian theta function and its applications. Adv. Math. 212 (2007)‚ no. 1‚ 389--406.

2.Chan Heng Huat; Liu Zhi-Guo‚ Elliptic functions to the quintic base. Pacific J. Math. 226 (2006)‚ no.1‚ 53--64.

3. Liu Zhi-Guo‚  A three-term theta function identity and its applications. Adv. Math. 195 (2005)‚ no. 1‚ 1--23.

4.Liu Zhi-Guo‚ A theta function identity and its implications. Trans. Amer. Math. Soc. 357 (2005)‚ no. 2‚ 825--835 .

5. Chan Heng Huat; Chan Song Heng; Liu Zhiguo‚  Domb´s numbers and Ramanujan-Sato type series for $1/\pi$.
Adv. Math. 186 (2004)‚ no. 2‚ 396--410.

6.Liu‚ Zhi-Guo‚   Some Eisenstein Series Identities Related To  Modular Equations Of The Seventh Order‚  Pacific Mathematics Journal‚ 209(2003)‚no. 1‚ 103-129.

7. Liu Zhi-Guo‚ Some operator identities and series transformation formulas. Discrete Math. 265 (2003)‚ no. 1-3‚ 119--139.

7.Chan Heng Huat; Liu Zhi-Guo‚ Analogues of Jacobi´s inversion formula for the incomplete elliptic integral of the first kind. Adv. Math. 174 (2003)‚ no. 1‚ 69--88.

8. Liu Zhi-Guo‚ An Expansion Formula for q-Series and Applications‚  The Ramanujan Journal‚ 6(2002)‚ no.4‚ 429-447.

9. Andrews George E.; Lewis Richard; Liu Zhi-Guo‚ An identity relating a theta function to a sum of Lambert series. Bull. London Math. Soc. 33 (2001)‚ no. 1‚ 25--31.