IRRATIONALITÉ AUX ENTIERS IMPAIRS POSITIFS D'UN q-ANALOGUE DE LA FONCTION ZÊTA DE RIEMANN

DOI10.1142/S1793042110003332zbMath1204.11110arXiv0712.1762OpenAlexW2057820147MaRDI QIDQ4929861

Frédéric Jouhet, Elie Mosaki

Publication date: 24 September 2010

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

Full work available at URL: https://arxiv.org/abs/0712.1762

zbMATH Keywords

\(q\)-seriesirrationality\(q\)-analogue of the Riemann zeta function

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Measures of irrationality and of transcendence (11J82) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Irrationality; linear independence over a field (11J72)

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Hall-Littlewood polynomials and characters of affine Lie algebras ⋮ A \(q\)-analogue of the Bailey-Borwein-Bradley identity ⋮ Supercongruences for polynomial analogs of the Apéry numbers ⋮ On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values ⋮ A refinement of Nesterenko's linear independence criterion with applications to zeta values ⋮ Diophantine properties for 𝑞-analogues of Dirichlet’s beta function at positive integers

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