Vol. 25, No. 1, 1968

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Note on an extreme form

Manoranjan Prasad

Vol. 25 (1968), No. 1, 167–176
Abstract

The purpose of this paper is to find a positive definite quadratic form fn(x1,x2,xn) which is extreme and for which each of the binary form f2(xi,xj) is an extreme form. In other words we intend to seek an extreme n-ary form fn(x1,x2,xn) which remains extreme when it is reduced to a binary form f2(xi,xj), by setting all but two of the x’s equal to zero.

Mathematical Subject Classification
Primary: 10.16
Milestones
Received: 24 February 1967
Published: 1 April 1968
Authors
Manoranjan Prasad