Sushmanth J. Akkarapakam

collaborators

2 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.NT2024

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…