Sums of monomials with large Mahler measure Academic Article

abstract

• 2014 Elsevier Inc. For n1 let An{colon equals}{P:P(z)=j=1nzkj:0k10(Q, [, ]) is defined for bounded measurable functions Q(e^it) on [, ] as M0(Q,[,]){colon equals}exp(1-log|Q(eit)|dt). Let I{colon equals}[, ]. In this paper we examine the quantities Ln0(I){colon equals}supPAnM0(P,I)nandL0(I){colon equals}lim infnLn0(I) with 0<|I|{colon equals}-2.

authors

• Erdelyi, Tamas

published proceedings

• JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

• Choi, S., & Erdelyi, T.

citation count

• 6

complete list of authors

• Choi, Stephen||Erdélyi, Tamás

publication date

• September 2015

publisher

• Elsevier  Publisher

published in

• Journal of Approximation Theory  Journal

keywords

• Constrained Coefficients
• Fekete Polynomials
• L-1 Norm
• Large Sieve Inequalities
• Littlewood Polynomials
• Mahler Measure
• Newman Polynomials
• Sums Of Monomials

Digital Object Identifier (DOI)

• 10.1016/j.jat.2014.01.003

start page

• 49

end page

• 61

volume

• 197

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jat.2014.01.003