Some modular relation on analogous of Ramanujan´´´'s remarkable product of theta-function | Zendy

B. N. Dharmendra | Zendy; M. C. Mahesh Kumar | Zendy; P. Nagendra | Zendy

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Some 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.

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