Turkish Journal of Mathematics
Abstract
S. Ramanujan recorded several modular equations and $P$-$Q$ theta function identities in his notebooks and lost notebook without recording the proofs. In this paper, we provide an elementary proof of two modular equations and two $P$-$Q$ theta function identities of level 35, which have been proved by B.C. Berndt using the theory of modular forms.
DOI
10.3906/mat-1805-51
Keywords
Theta function, modular equation
First Page
63
Last Page
80
Recommended Citation
VASUKI, K. R, & T, A (2019). On a pair of Ramanujan's modular equations and $P$-$Q$ theta functions of level 35. Turkish Journal of Mathematics 43 (1): 63-80. https://doi.org/10.3906/mat-1805-51
