Lambert $W$-function and Gauss class number one conjecture
Number Theory
2025-12-03 v1 Operator Algebras
Abstract
We study fixed points of a function arising in a representation theory of the Drinfeld modules by the bounded linear operators on a Hilbert space. We prove that such points correspond to number fields of the class number one. As an application, one gets a solution to the Gauss conjecture for the real quadratic fields of class number one.
Cite
@article{arxiv.2512.02232,
title = {Lambert $W$-function and Gauss class number one conjecture},
author = {Igor V. Nikolaev},
journal= {arXiv preprint arXiv:2512.02232},
year = {2025}
}
Comments
9 pages