On locally primitively universal quadratic forms

Autor:	Earnest, A. G., Gunawardana, B. L. K.
Rok vydání:	2020
Předmět:	Mathematics - Number Theory 11E12 (primary) 11E08 11E20 11E25 (secondary)
Druh dokumentu:	Working Paper
Popis:	A positive definite integral quadratic form is said to be almost (primitively) universal if it (primitively) represents all but at most finitely many positive integers. In general, almost primitive universality is a stronger property than almost universality. The two main results of this paper are: 1) every primitively universal form nontrivially represents zero over every ring of p-adic integers, and 2) every almost universal form in five or more variables is almost primitively universal. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.11268 Zobrazit plný text záznamu View this record from Arxiv