Article overview
Abstract
In the proposed work, we establish a total of six new $P$--$Q$ modular equations involving theta--function $f(-q)$ with moduli of orders 1, 3, 7 and 21. These equations can be regarded as modular identities in the alternate theory of signature 3. As a consequence, several values of quotients of theta--function are evaluated.
Keywords and Phrases
Modular equationsTheta-functions.
AMS Subject Classification
33D15, 33E20, 11F20, 11F27.
Reference information
How to Cite
Vijay Yadav, S. Chandankumar (2021). ON ``MIXED'' MODULAR EQUATIONS OF DEGREE $21$. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 153-170.