3 papers
math.NT2025
Lambert -function and Gauss class number one conjecture
Igor V. Nikolaev
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 corresp…
math.NT2025
Addendum to "Measured foliations and Hilbert 12th problem"
Igor V. Nikolaev
We study numerical examples of the abelian extensions of the real quadratic number fields based on the results in Acta Mathematica Vietnamica 48 (2023), 271-281 (arXiv:0804.0057)
math.KT2025
K-theory of Minkowski question-mark function
Igor V. Nikolaev
It is proved that the Minkowski question-mark function comes from the K-theory of Cuntz-Pimsner algebras. We apply this result to calculate the action of Frobenius endomorphism at…