Vol. 49, No. 1, 1973

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ISSN: 0030-8730
Round and Pfister forms over R(t)

John Sollion Hsia and Robert Paul Johnson

Vol. 49 (1973), No. 1, 101–108
Abstract

An anisotropic quadratic form ϕ is called round if ϕwhenever ϕ represents a0. All round forms over R(t) are completely determined. Connections with Pfister’s strongly multiplicative forms and with the reduced algebraic K-theory groups kn of Milnor are studied.

Mathematical Subject Classification 2000
Primary: 10C05
Secondary: 15A63
Milestones
Received: 14 August 1972
Published: 1 November 1973
Authors
John Sollion Hsia
Robert Paul Johnson