3 papers
math.NT2026
A proof of Sugawara's conjecture on Hasse-Weber ray class invariants
Patrick Morton
In this paper a proof is given of Sugawara's conjecture from 1936, that the ray class field of conductor over an imaginary quadratic field is generated over …
math.NT2025
Algebraic functions and class number formulas
Sushmanth J. Akkarapakam, Patrick Morton
A class number formula is proved for extended ring class fields over imaginary quadratic fields , in which the prime 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 are shown to be expressible in terms of Ramanujan's cubic continued fract…