q-ANALOGUES OF WILSON'S THEOREM

DOI10.1142/S1793042108001511zbMath1162.11004arXivmath/0606152MaRDI QIDQ3526555

Hao Pan, Robin J. Chapman

Publication date: 25 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0606152

zbMATH Keywords

class numbercongruence\(q\)-analoguefundamental unit

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Congruences; primitive roots; residue systems (11A07) Class numbers, class groups, discriminants (11R29)

Related Items (2)

Gaussian binomial coefficients modulo cyclotomic polynomials ⋮ A \(q\)-analogue of Wilson's congruence

Cites Work

• Congruence properties of \(q\)-analogs
• \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
• Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers
• The Congruence (p - 1/2)! ≡± 1 (mod p)
• On q-Euler numbers, q-Salié numbers and q-Carlitz numbers
• Determinants of Legendre symbol matrices
• ON THE CLASS NUMBER OF REAL QUADRATIC FIELDS

This page was built for publication: q-ANALOGUES OF WILSON'S THEOREM