Work

Singular Vectors and ψ -Dirichlet Numbers over Function Field

Year: 2025

Type: article

Abstract: We show that the only ψ -Dirichlet numbers in a function field over a finite field are rational functions, unlike ψ -Dirichlet numbers in ℝ . We also prove that there are uncountably many totally irrational singular vectors with large uniform exponent in quadratic surfaces over a positive characteristic field.

Source: Journal de Théorie des Nombres de Bordeaux

DOI: 10.5802/jtnb.1305

Authors: Shreyasi Datta, Yewei Xu

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409004217

FWCI: 3.401

Cites: 25

Cited by: 1

Related to: 10