5 citations · 7 across the 4 of their papers we have counts for
4 papers
A note on a harmonic measure estimate and a conjecture of J. Velling
Alexander Fryntov
Suppose that finitely many disjoint open arcs have been selected on the unit circle, each of length less than . Let be a longest among them. One can treat the unit disk as…
Stability in the Marcinkiewicz theorem
Alexandre Eremenko, Alexander Fryntov
Ostrovskii's generalization of the Marcinkiewicz theorem implies that if an entire characteristic functions of a probability distribution satisfies $\log^+\log|f(z)|=o(|z|),\; z\to…
Remarks on the Obrechkoff inequality
Alexandre Eremenko, Alexander Fryntov
Oberchkoff's inequality says that a polynomial of degree d with non-negative coefficients has at most 2ad/pi zeros in the angle {|arg z|<a}. We improve and generalize this inequali…
New estimates for the length of the Erdos-Herzog-Piranian lemniscate
Alexander Fryntov, Fedor Nazarov
Let p(z) be a monic polynomial of degree n. Consider the lemniscate L={z:|p(z)|=1}. It has been conjectured that L has the largest length when p(z)=z^n-1. We show that the length o…