Subhajit Ghosh

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20232026

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math.CV2026

A note on the Erdös minimal area problem

Subhajit Ghosh, Koushik Ramachandran

We answer a question of Erdős, Herzog, and Piranian \cite[Problem $4$ , page $135$ ]{EHP} on the minimal area of polynomial lemniscates when all the zeros of the polynomial are const…

math.CV2023

Number of components of polynomial lemniscates: a problem of Erdös, Herzog, and Piranian

Subhajit Ghosh, Koushik Ramachandran

Let $K \subset C$ be a compact set in the plane whose logarithmic capacity $c (K)$ is strictly positive. Let $P_{n} (K)$ be the space of monic polynomials of degree $n…