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

B. R. Srivatsa Kumar, Shruthi, D. Anu Radha, Bruno Carpentieri
2021 Journal of Applied Mathematics  
Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre's arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using ( p , k )-parametrization in terms of Borweins' theta functions.
doi:10.1155/2021/6614572 fatcat:hkfpqd5wjnes7hza62o2mngwcq