Arithmetical properties of Wendt's determinant

DOI10.1016/j.jnt.2004.09.003zbMath1089.11018OpenAlexW2018848441MaRDI QIDQ817249

Charles Helou, Guy Terjanian

Publication date: 8 March 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.09.003

zbMATH Keywords

cyclotomic fieldcirculant matrixbinomial coefficientcongruenceresultantWendt's determinant

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Cyclotomic extensions (11R18) Matrices, determinants in number theory (11C20)

Cites Work

• The asymptotic behaviour of the binomial circulant determinant
• Upper bounds for the prime divisors of Wendt's determinant
• The Prime Factors of Wendt's Binomial Circulant Determinant
• Fermat’s Last Theorem for Amateurs
• On Wendt's Determinant and Sophie Germain's Theorem
• On Wendt’s determinant
• A Determinant Connected with Fermat's Last Theorem
• A Determinant Connected with Fermat's Last Theorem
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