{"title":"Primitive two-dimensional prime-universality of quadratic forms","authors":"N. Budarina","doi":"10.1016/j.jpaa.2025.107968","DOIUrl":null,"url":null,"abstract":"<div><div>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 <span><math><msub><mrow><mi>Z</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>. As an application of the local results, we prove a result related to a two-dimensional generalization of primitive prime-universality.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 6","pages":"Article 107968"},"PeriodicalIF":0.8000,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404925001070","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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 . As an application of the local results, we prove a result related to a two-dimensional generalization of primitive prime-universality.
期刊介绍：
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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