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On rational points of orthogonal group

2014/09/17 by Masanori Kobayashi, Kobayashi, Masanori, Chikara Nakayama +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1409.5010

openalex publication_date 2014/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let n be a positive integer. We show that a unit rational space vector whose multiple by n is an integer vector can be extended to a rational orthonormal basis whose all members have the same property.

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