Work

Local description of primitive representations by ternary quadratic forms

Year: 2025

Type: article

Abstract: In this paper, for each integral quadratic ternary form Q with prescribed Jordan decomposition over the ring $$\mathbb {Z}_p$$ Z p , where p is odd, we give criteria for determining whether there exists a primitive representation of integers A with p -valuation at most three by the form Q . As an application of the local criteria, we prove a result related to primitive prime-universality and primitive odd-universality.

Source: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

DOI: 10.1007/s13366-025-00808-8

Author: Natalia Budarina

Institution: Dundalk Institute of Technology

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Irish Research eLibrary, Dundalk Institute of Technology