Primitive two-dimensional prime-universality of quadratic forms

被引：0

作者：

Budarina, N. ^{[1
]}

机构：

[1] Dundalk Inst Technol, Dept Comp Sci & Math, Dublin Rd, Dundalk A91 K584, Louth, Ireland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2025年 / 229卷 / 06期

关键词：

Classically integral quadratic forms; Primitive representation; p-adic symbol; REPRESENTATIONS;

D O I：

10.1016/j.jpaa.2025.107968

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give a local description of quadratic forms that primitively represent all binary forms with specific Jordan decompositions over the odd ring Zp. As an application of the local results, we prove a result related to a two-dimensional generalization of primitive prime-universality. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：24

共 23 条

[1]

Bhargava M.:., 2000, Quadratic forms and their applications (Dublin, 1999), V272, P27, DOI [10.1090/conm/272/04395, DOI 10.1090/CONM/272/04395]

[2] ON PRIMITIVELY UNIVERSAL QUADRATIC FORMS [J].