Mathematics > Functional Analysis
arXiv:2606.19355 (math)
[Submitted on 5 May 2026]
Abstract:In 1829, Cauchy derived an upper bound for every root of a complex polynomial using the maximum of the absolute values of the coefficients. In 1931, Montel derived an upper bound using the sum of the absolute values of the coefficients. We derive noncommutative versions of the Cauchy and Montel bounds.
Submission history
From: K Mahesh Krishna [view email]
[v1]
Tue, 5 May 2026 04:49:47 UTC (4 KB)
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