A theta function identity of degree eight and Eisenstein series identities

作者：Liu, Zhi Guo^*

来源：Journal of Number Theory, 2012, 132(12): 2955-2966.

DOI：10.1016/j.jnt.2012.06.007

• Elliptic function
• Theta function
• Eisenstein series
• Entire function
• Addition formula
• Septuple product identity

In this paper we prove a theta function identity of degree eight using the theory of elliptic theta functions and the method of asymptotic analysis. This identity allows us to derive some curious Eisenstein series identities. We prove a new addition formula for theta functions which allows us to give an extension of the Hirschhorn septuple product identity.

• 出版日期2012-12
• 单位华东师范大学