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NOTES ON THE K-RATIONAL DISTANCE PROBLEM
Published online by Cambridge University Press: 01 December 2020
Abstract
Let K be an algebraic number field. We investigate the K-rational distance problem and prove that there are infinitely many nonisomorphic cubic number fields and a number field of degree n for every $n\geq 2$ in which there is a point in the plane of a unit square at K-rational distances from the four vertices of the square.
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- Research Article
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- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
The author is partially supported by the Vietnam National Foundation for Science and Technology Development (grant number 101.04-2019.314).