arXiv:2106.12019 [math.NT]AbstractReferencesReviewsResources
Length-Preserving Directions and Some Diophantine Equations
Published 2021-06-22Version 1
We study directions along which the norms of vectors are preserved under a linear map. In particular, we find families of matrices for which these directions are determined by integer vectors. We consider the two-dimensional case in detail, and also discuss the extension to the three-dimensional case.
Comments: 5 figures
Journal: American Mathematical Monthly 128:2, 125-139, February 2021
DOI: 10.1080/00029890
Keywords: diophantine equations, length-preserving directions, linear map, study directions, two-dimensional case
Tags: journal article
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