Sieve-Type Lower Bounds for the Mahler Measure of Polynomials on Subarcs Academic Article

abstract

• We prove sieve-type lower bounds for the Mahler measure of polynomials on subarcs of the unit circle of the complex plane. This is then applied to give an essentially sharp lower bound for the Mahler measure of the Fekete polynomials on subarcs. 2011 Heldermann Verlag.

authors

• Erdelyi, Tamas

published proceedings

• COMPUTATIONAL METHODS AND FUNCTION THEORY

author list (cited authors)

• Erdelyi, T.

citation count

• 8

complete list of authors

• Erdelyi, Tamas

publication date

• September 2011

publisher

• Springer Nature  Publisher

published in

• Computational Methods and Function Theory / Computational Methods and Function Theory - Springer  Journal

keywords

• Constrained Coefficients
• Fekete Polynomials
• Large Sieve Inequalities
• Littlewood Polynomials
• Mahler Measure

Digital Object Identifier (DOI)

• 10.1007/BF03321798

start page

• 213

end page

• 228

volume

• 11

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf03321798