The entanglement of radicals

2025/08/26 by Chan, Chi Wa, Pajaziti, Antigona, Perissinotto, Flavio +1 · 1 citation
#11R18 #11R20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.19211

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.

Cited by

• Linear relations among radicals

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