2 papers
math.NT2026
On Ramanujan's Continued Fractions of Orders Five, Ten, and Twenty and Associated Lambert Series Identities
Shruthi C. Bhat, B. R. Srivatsa Kumar
In this work, we establish several new identities connecting Ramanujan's continued fractions of order twenty. By employing product representation for Jacobi's theta function ,…
math.GM2023
Some identities of Ramanujan's q-Continued Fraction of Order Eighteen, Twenty-Six and Thirty, and Vanishing Coefficients
Raksha, B. R. Srivatsa Kumar
In the present work, we established continued fractions of level eighteen, twenty six and thirty. Further, we obtained vanishing coefficients and many algebraic relations. To valid…