Sushmanth J. Akkarapakam

activity

20222025

collaborators

3 papers

math.NT2025

Algebraic functions and class number formulas

Sushmanth J. Akkarapakam, Patrick Morton

A class number formula is proved for extended ring class fields $L_{O, 9}$ over imaginary quadratic fields $K_{d} = Q (- d)$ , in which the prime $p = 3$ splits…

math.NT2023

On Ramanujan's cubic continued fraction

Sushmanth J. Akkarapakam, Patrick Morton

The periodic points of the algebraic function defined by the equation $g (x, y) = x^{3} (4 y^{2} + 2 y + 1) - y (y^{2} - y + 1)$ are shown to be expressible in terms of Ramanujan's cubic continued fract…

math.NT2022

Periodic points of algebraic functions related to a continued fraction of Ramanujan

Sushmanth J. Akkarapakam, Patrick Morton

A continued fraction $v (τ)$ of Ramanujan is evaluated at certain arguments in the field $K = Q (- d)$ , with $- d \equiv 1$ (mod $8$ ), in which the ideal $(2) = \wp_2 \…