A note on \(q\)-analogues of Dirichlet series

DOI10.3792/pjaa.75.23zbMath0931.11031OpenAlexW2077951350MaRDI QIDQ1302092

Hirofumi Tsumura

Publication date: 22 February 2000

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.75.23

zbMATH Keywords

Dirichlet series\(q\)-Bernoulli numbers\(q\)-zeta functionJackson's \(q\)-\(\Gamma\)-function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items

Integral representations of \(q\)-analogues of the Hurwitz zeta function ⋮ On q-analogs of zeta functions associated with a pair of q-analogs of Bernoulli numbers and polynomials ⋮ Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function ⋮ A note on \(q\)-Euler and Genocchi numbers ⋮ Some expansions in basic Fourier series and related topics ⋮ q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function ⋮ Carlitz's \(q\)-Bernoulli and \(q\)-Euler numbers and polynomials and a class of generalized \(q\)-Hurwitz zeta functions ⋮ A note on q-Bernoulli numbers and polynomials

Cites Work

• Unnamed Item
• A note on \(q\)-analogues of the Dirichlet series and \(q\)-Bernoulli numbers
• On evaluation of the Dirichlet series at positive integers by \(q\)- calculation
• Euler and the Zeta Function
• Theq-Gamma andq-Beta Functions†
• New rapidly convergent series representations for $\zeta (2n+1)$

This page was built for publication: A note on \(q\)-analogues of Dirichlet series