Vol. 102, No. 1, 1982

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On the number of real roots of polynomials

Thomas Curtis Craven and George Leslie Csordas

Vol. 102 (1982), No. 1, 15–28
Abstract

A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences of this theorem include major extensions of classical theorems of Pólya and Schur on the reality of roots of polynomials.

Mathematical Subject Classification 2000
Primary: 30C10
Secondary: 12D10, 14G30
Milestones
Received: 19 May 1981
Published: 1 September 1982
Authors
Thomas Curtis Craven
George Leslie Csordas