Inhomogeneous minimum of indefinite quadratic forms in five variables of type (4,1) or (1,4): a conjecture of Watson

Hans-Gill, R. J. ; Raka, Madhu (1980) Inhomogeneous minimum of indefinite quadratic forms in five variables of type (4,1) or (1,4): a conjecture of Watson Indian Journal of Pure and Applied Mathematics, 11 (1). pp. 75-91. ISSN 0019-5588

[img]
Preview
PDF - Publisher Version
446kB

Official URL: http://www.dli.gov.in/rawdataupload/upload/insa/IN...

Abstract

In the present paper it is proved that if Q(x, y, z, t, u) is a real indefinite quadratic form of type (4, 1) or (1.4) and determinant D, then for any real numbers Xo, Yo, zo, to, uo there exist integers x, y, z, t, u such that I Q(x + xo, y + yo, z + zo, t + to, u + uo) I≤(½ I D I ). All the critical forms are also obtained.

Item Type:Article
Source:Copyright of this article belongs to Indian National Science Academy.
ID Code:74804
Deposited On:19 Dec 2011 04:59
Last Modified:18 May 2016 19:05

Repository Staff Only: item control page