Rook theory, compositions, and zeta functions

DOI10.1090/S0002-9947-96-01662-5zbMath0878.11034OpenAlexW1788790950MaRDI QIDQ4715127

James Haglund

Publication date: 1 September 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01662-5

zbMATH Keywords

identitiescombinatorial problemsDirichlet serieszeta functionsformal power seriesrook theoryconsecutive primestheory of compositionsSimon Newcomb problem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other Dirichlet series and zeta functions (11M41) Distribution of primes (11N05)

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Cites Work

• A multiindexed Sturm sequence of polynomials and unimodality of certain combinatorial sequences
• \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers
• \(q\)-rook polynomials and matrices over finite fields
• Extended Bernoulli and Eulerian numbers
• The problem of the rooks and its applications
• The (qr)-Simon Newcomb problem
• Rook Theory. I.: Rook Equivalence of Ferrers Boards
• The Theory of Compositions (I): the Ordered Factorizations of n and a Conjecture of C. Long
• Some New Observations on the Gollnitz-Gordon and Rogers-Ramanujan Identities
• Simon Newcomb’s Problem
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