On the behavior of the zeros of palindromic polynomials

• Grant number: 16/08051-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2016
• End date: October 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Vanessa Avansini Botta Pirani
• Grantee: Karina Seviero Rampazzi
• 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 its zeros, that are symmetric in relation to the real line and the unit circle. Recent results will be studied to establish conditions for the location of the zeros of these polynomials on the unit circle. (AU)