Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum $$\displaystyle {\sum _{i+4j=n}^{}\sigma (i)\sigma (j)}$$

Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series

“…Xia and Yao [11] also obtained several Eisenstein series identities that includes Borweins' theta functions containing bðqÞ, bðq 2 Þ, bðq 4 Þ, cðqÞ, cðq 2 Þ, and cðq 4 Þ by using (p, k)-parametrization. Further, in 2020, Shruthi and Srivatsa Kumar [13] obtained new Eisenstein series involving Borweins' cubic theta functions. This paper is classified as follows.…”