The maximal length of the Erdős–Herzog–Piranian lemniscate in high degree

I’ve just uploaded to the arXiv my preprint The maximal length of the Erdős–Herzog–Piranian lemniscate in high degree. This paper asymptotically resolves an old question about the polynomial lemniscates attached to monic polynomials of a given degree , and specifically the question of bounding the arclength of such lemniscates. For instance, when , the lemniscate […]