刘治国 数学科学学院 导航 个人资料 研究方向 开授课程 科研项目 学术成果 荣誉及奖励,个人资料 部门: 数学科学学院 毕业院校: 学位: 学历: 邮编: 联系电话: 传真: 电子邮箱: zgliu@math.ecnu.edu.cn 办公地址: 数学楼336房间 通讯地址: 上海东川路500号华东师范大学数学系 教育经历 工作经历 个人简介 社会兼职 研究方向 椭圆函数理论、 基本超几何级数理论、数论 开授课程 科研项目 学术成果 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. 荣誉及奖励 2671 访问 相关教师