Sums of monomials with large Mahler measure Academic Article uri icon


  • © 2014 Elsevier Inc. For n≥1 let An{colon equals}{P:P(z)=∑j=1nzkj:0≤k10(Q, [α, β]) is defined for bounded measurable functions Q(eit) on [α, β] as M0(Q,[α,β]){colon equals}exp(1β-α∫αβlog|Q(eit)|dt). Let I{colon equals}[α, β]. In this paper we examine the quantities Ln0(I){colon equals}supP∈AnM0(P,I)nandL0(I){colon equals}lim infn→∞Ln0(I) with 0<|I|{colon equals}β-α≤2π.

author list (cited authors)

  • Choi, S., & Erdélyi, T.

citation count

  • 6

publication date

  • September 2015