Almost 2-universal diagonal quinary quadratic forms

2019/01/24 by Kim, Myeong Jae
#11E20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1901.08220

Abstract

A (positive definite integral) quadratic form is called almost 2-universal if it represents all (positive definite integral) binary quadratic forms except those in only finitely many equivalence classes. Oh [7] determined all almost 2-universal quinary diagonal quadratic forms remaining three as candidates. In this article, we prove that those three candidates are indeed almost 2-universal.

Related

• Primitively universal quaternary quadratic forms
• Primitively 2-universal senary integral quadratic forms
• On locally primitively universal quadratic forms
• Prime-universal diagonal quadratic forms
• On indefinite and potentially universal quadratic forms over number fields