arxiv:2512.02232

Lambert W-function and Gauss class number one conjecture

Published on Dec 1

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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.

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