On the number of real roots of polynomials

Thomas Curtis Craven and George Leslie Csordas

Vol. 102 (1982), No. 1, 15–28

DOI: 10.2140/pjm.1982.102.15

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