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arXiv · 2508.19211

The entanglement of radicals

Chi Wa Chan·Antigona Pajaziti·Flavio Perissinotto·Antonella Perucca
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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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Chi Wa Chan, Antigona Pajaziti, Flavio Perissinotto, Antonella Perucca. 2025-08-26. The entanglement of radicals. https://arxiv.org/abs/2508.19211

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