2-Universal positive definite integral quinary diagonal quadratic forms

Kim, B. M ; Kim, M. H ; Raghavan, S (1997) 2-Universal positive definite integral quinary diagonal quadratic forms The Ramanujan Journal, 1 (4). pp. 333-337. ISSN 1382-4090

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Official URL: http://www.springerlink.com/content/l422j8g0003872...

Related URL: http://dx.doi.org/10.1023/A:1009797524602

Abstract

As a generalization of the famous four square theorem of Lagrange, Ramanujan found all positive definite integral quaternary diagonal quadratic forms that represent all positive integers. In this paper, we find all positive definite integral quinary diagonal quadratic forms that represent all positive definite integral binary quadratic forms.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Quadratic Forms; 2-universal; Positive Definite; Quinary Z -lattices
ID Code:37831
Deposited On:25 Apr 2011 10:41
Last Modified:25 Jun 2012 15:02

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