Additive formulae of theta functions with applications in modular equations of degree three and five

作者：Zhai Hong Cun^*

来源：Integral Transforms and Special Functions, 2009, 20(10): 769-773.

DOI：10.1080/10652460902826698

• theta function
• modular equation
• Jacobi triple product

Additive formulae of Jacobin theta functions are obtained. As applications, we derive the Ramanujan's modular equations of degree three and five.

• 出版日期2009
• 单位江南大学; 华东师范大学