Zeros of palindromic polynomials

• Grant number: 13/10034-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2013
• End date: June 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Vanessa Avansini Botta Pirani
• Grantee: Evanize Rodrigues Castro
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

This research project proposes the study of the main properties of palindromic polynomials, with special attention to the behavior of the zeros of this class of polynomials. These zeros are symmetric both in relation to the real line as the unit circle. We will study recent results which establish conditions for the zeros of these polynomials are located on the unit circle and we represent graphically the results using mathematical softwares. (AU)