Some Schla¨fli type modular equations of composite degrees

Abstract

S. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degrees using the known identities.

Keywords

• dedekind η-function
• modular equations
• q-identity
• theta-function