The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set

abstract

• We study the number of real zeros of trigonometric polynomials in a period and the number of zeros of self-reciprocal algebraic polynomials on the unit circle under the assumption that their coefficients are in a fixed finite set of real numbers.

authors

• Erdelyi, Tamas

published proceedings

• ACTA ARITHMETICA

author list (cited authors)

• Erdelyi, T.

citation count

• 6

complete list of authors

• Erdélyi, Tamás

publication date

• January 2016

publisher

• Institute of Mathematics, Polish Academy of Sciences  Publisher

published in

• Acta Arithmetica  Journal

keywords

• Conrey's Question
• Number Of Real Zeros In A Period
• Number Of Zeros On The Unit Circle
• Restricted Coefficients
• Self-reciprocal Polynomials
• Trigonometric Polynomials

Digital Object Identifier (DOI)

• 10.4064/aa8442-7-2016

start page

• 177

end page

• 200

volume

• 176

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.4064%2Faa8442-7-2016