New estimates for the length of the Erdos-Herzog-Piranian lemniscate

zbMath1181.30002arXiv0808.0717MaRDI QIDQ5322213

F. L. Nazarov, Alexander Fryntov

Publication date: 20 July 2009

Full work available at URL: https://arxiv.org/abs/0808.0717

zbMATH Keywords

asymptotic estimateestimatelemniscatevariationthe Stokes formula

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

Inradius of random lemniscates ⋮ On estimates of lengths of lemniscates ⋮ Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence

This page was built for publication: New estimates for the length of the Erdos-Herzog-Piranian lemniscate