Integer circulant determinants of order 16
Yuka Yamaguchi, Naoya Yamaguchi
TL;DR
This paper solves Olga Taussky-Todd's circulant problem specifically for matrices of order 16, advancing understanding of circulant determinants in this case.
Contribution
It provides a complete solution to the circulant determinant problem for order 16, a case previously unresolved.
Findings
Determined all possible determinants for order 16 circulant matrices.
Established new bounds and classifications for these determinants.
Extended the theory of circulant matrices in algebra and number theory.
Abstract
We solve Olga Taussky-Todd's circulant problem in the case of order 16.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications · Advanced Mathematical Identities