The entanglement of radicals

Published 26 Aug 2025 in math.NT | (2508.19211v1)

Abstract: In this work we achieve a full understanding of the so-called entanglement of radicals, showing that over any field there are extremely few additive relations among radicals. Our results complete a famous theorem by Kneser from 1975 on the linear independence of radicals and solve a problem discussed by Lenstra in 2006.

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