Abstract
Ramanujan gave simple theta function identities for different bases. We have considered the continued fraction given in section 1, eq. (1.7) which equals quotient of theta functions on base four. This continued fraction is also of Ramanujan and is analogous to his famous continued fraction R(q). In this paper we have given simple theta function identities on base four. These identities will be helpful in deducing modular equations.
Cuvinte cheie
theta function
continued fraction
q-series