Work

Malle’s conjecture for nonic Heisenberg extensions

Year: 2026

Type: article

Abstract: We prove Malle’s conjecture for nonic Heisenberg extensions over ℚ . Our main algebraic result shows that the number of nonic Heisenberg extensions over ℚ with discriminant bounded by X is given by a character sum. We then extract the main term from this sum by exploiting oscillation of characters.

Source: Annales de l’institut Fourier

DOI: 10.5802/aif.3779

Authors: Étienne Fouvry, Peter Koymans

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay, Max Planck Institute for Mathematics

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7140588827

FWCI:

Cites: 29

Cited by: 5

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