S. Chandankumar

collaborators

4 papers

math.NT2020

On "mixed" modular equations of degree 21

S. Chandankumar

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 regar…

math.NT2020

$P$ -- $Q$ "mixed" modular equations of degree 15

S. Chandankumar, B. Hemanthkumar

Ramanujan in his second notebook recorded total of seven $P$ -- $Q$ modular equations involving theta--function $f (- q)$ with moduli of orders 1, 3, 5 and 15. In this paper, modular e…

math.NT2019

On some P-Q mixed modular equations of degree 5

M. S. Mahadeva Naika, S. Chandankumar, M. Harish

In his second notebook, Ramanujan recorded total of 23 P-Q modular equations involving theta-functions $f (- q)$ , $φ (q)$ and $ψ (q)$ . In this paper, modular equations analogous to tho…

math.NT2019

On a new parameter involving Ramanujan's theta-functions

S. Chandankumar, H. S. Sumanth Bharadwaj, Vijay Yadav

We define a new parameter $A_{k, n}^{'}$ involving Ramanujan's theta-functions for any positive real numbers $k$ and $n$ which is analogous to the parameter $A_{k, n}$ defined by Nipen…

On "mixed" modular equations of degree 21

P--Q "mixed" modular equations of degree 15

On some P-Q mixed modular equations of degree 5

On a new parameter involving Ramanujan's theta-functions

$P$ -- $Q$ "mixed" modular equations of degree 15