A note on the Erd\"os minimal area problem
Complex Variables
2026-05-28 v2 Classical Analysis and ODEs
Metric Geometry
Abstract
We answer a question of Erd\"os, Herzog, and Piranian on the minimal area of polynomial lemniscates when all the zeros of the polynomial are constrained to lie on a compact set K whose logarithmic capacity is strictly larger than 1.
Cite
@article{arxiv.2604.03036,
title = {A note on the Erd\"os minimal area problem},
author = {Subhajit Ghosh and Koushik Ramachandran},
journal= {arXiv preprint arXiv:2604.03036},
year = {2026}
}
Comments
7 pages, corrected some typos and added Section 4