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math.CV2025
Sharp bounds for the valence of certain logharmonic polynomials
Kirill Lazebnik, Erik Lundberg
Consider a logharmonic polynomial; that is, a product of the form , where , are holomorphic polynomials. Assume is linear and denote by the degr…
math.CV2025
On the area of polynomial lemniscates
Manjunath Krishnapur, Erik Lundberg, Koushik Ramachandran
Erdös posed in 1940 the extremal problem of studying the minimal area of the lemniscate of a monic polynomial of degree all of whose zeros are in the closed…