Turkish Journal of Mathematics
DOI
10.3906/mat-1805-51
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.
Keywords
Theta function, modular equation
First Page
63
Last Page
80
Recommended Citation
VASUKI, K. R. and T, ANUSHA
(2019)
"On a pair of Ramanujan's modular equations and $P$-$Q$ theta functions of level 35,"
Turkish Journal of Mathematics: Vol. 43:
No.
1, Article 6.
https://doi.org/10.3906/mat-1805-51
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss1/6
