Prime power order circulant determinants

DOI10.1215/00192082-10596890arXiv2205.12439OpenAlexW4366658812MaRDI QIDQ6113395

Michael J. Mossinghoff, Christopher G. Pinner

Publication date: 9 August 2023

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.12439

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Matrices of integers (15B36) Character groups and dual objects (43A40) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Progress on Olga Taussky-Todd's circulant problem
• On a problem suggested by Olga Taussky-Todd
• The Lind-Lehmer constant for cyclic groups of order less than 892,371,480
• The origin of representation theory
• Factorization of certain cyclotomic functions
• Minimal group determinants for dicyclic groups
• Integer group determinants for small groups
• The integer group determinants for the symmetric group of degree four
• Artiads characterized
• Determinants of circulants of prime power order
• The Group Determinant Determines the Group
• The Lind-Lehmer constant for certain $p$-groups
• Minimal group determinants and the Lind–Lehmer problem for dihedral groups
• Lehmer’s problem for compact Abelian groups
• Lehmer’s problem for arbitrary groups
• Integer circulant determinants of order 15
• An extension and a generalization of Dedekind's theorem
• Mahler measure under variations of the base group
• On the Lehmer constant of finite cyclic groups
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ
• Remark on Laquer's theorem for circulant determinants
• Number fields
• Integer circulant determinants of order 16

This page was built for publication: Prime power order circulant determinants