On a polynomial involving roots of unity and its applications

DOI10.1142/S1793042122500890zbMath1500.11077arXiv2001.02860OpenAlexW3000572824WikidataQ114071808 ScholiaQ114071808MaRDI QIDQ5082491

Yue-Feng She, Hai-Liang Wu

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2001.02860

zbMATH Keywords

quadratic fieldsclass numberscyclotomic fieldsfundamental units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Cyclotomic extensions (11R18)

Cites Work

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• Quadratic residues and related permutations and identities
• The class-number of real quadratic number fields
• The Congruence (p - 1/2)! ≡± 1 (mod p)
• Class Number Formulae of Dirichlet Type
• Class Numbers of Real Quadratic Number Fields
• Determinants of Legendre symbol matrices
• ON THE CLASS NUMBER OF REAL QUADRATIC FIELDS
• On a Pellian Equation Conjecture (II)
• Number Theory

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