DETERMINANTS RELATED TO DIRICHLET CHARACTERS MODULO 2, 4 AND 8 OF BINOMIAL COEFFICIENTS AND THE ALGEBRA OF RECURRENCE MATRICES

DOI10.1142/S021819670800455XzbMath1190.15005arXiv0708.1430MaRDI QIDQ3521474

Roland Bacher

Publication date: 26 August 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1430

zbMATH Keywords

determinantbinomial coefficientsDirichlet character\(q\)-binomial coefficientsrecurrence matrix

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (6)

Self-similar groups, automatic sequences, and unitriangular representations ⋮ An explicit density estimate for Dirichlet $L$-series ⋮ Fractal nil graded Lie superalgebras ⋮ Functionally recursive rings of matrices -- two examples ⋮ Self-similar associative algebras. ⋮ Nil Liep-algebras of slow growth

Cites Work

• On Burnside's problem on periodic groups
• Symmetric Pascal matrices modulo \(p\)
• Branch rings, thinned rings, tree enveloping rings.
• Zaphod Beeblebrox's Brian and the Fifty-ninth Row of Pascal's Triangle
• A Primitive Ring Associated to a Burnside 3-Group
• Correction to: Zaphod Beeblebrox's Brain and the Fifty-Ninth Row of Pascal's Triangle
• Automatic Sequences

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