Open AccessSome modular relation on analogous of Ramanujan´´´'s remarkable product of theta-function
Author(s) -
B. N. Dharmendra,
M. C. Mahesh Kumar,
P. Nagendra
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.50610
Subject(s) - ramanujan's sum , ramanujan theta function , mathematics , ramanujan tau function , modular design , product (mathematics) , theta function , pure mathematics , modular form , relation (database) , algebra over a field , computer science , geometry , database , operating system
In this article, we derive new modular relations on Ramanujan's product of theta-functions $\phi(q)$ and $f(-q^2)$, which is analogous to Ramanujan's remarkable product of theta-functions and their explicit evaluations.