3 papers
math.NT2026
On new identities connecting Ramanujan-Göllnitz-Gordon continued fraction and Ramanujan's continued fraction of order four
Shruthi C. Bhat, B. R. Srivatsa Kumar
By employing the classical tools from the theory of -series and theta functions, new fascinating identities on different continued fractions can be achieved. In this article, we…
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.NT2026
On a new modular equation of degree five and Eisenstein series identities of associated levels
Shruthi C. Bhat, B. R. Srivatsa Kumar
In this research article, we obtain few theta function identities of level ten employing Ramanujan's summation formula. Using these identities, we derive a new modular eq…