On the sum formula for the $q$-analogue of non-strict multiple zeta values
From MaRDI portal
Publication:5295081
DOI10.1090/S0002-9939-07-08994-0zbMath1130.11051MaRDI QIDQ5295081
Publication date: 27 July 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items
Evaluations of multiple Dirichlet \(L\)-values via symmetric functions, Weighted sum formula for multiple zeta values, On generating functions of multiple zeta values and generalized hypergeometric functions, Applications of shuffle product to restricted decomposition formulas for multiple zeta values, A note on the sum of finite multiple harmonic q -series on r -( r + 1) indices, SUPERCONGRUENCES OF MULTIPLE HARMONIC <i>q</i>-SUMS AND GENERALIZED FINITE/SYMMETRIC MULTIPLE ZETA VALUES, Cyclic sum of certain parametrized multiple series, Exact \(\mathcal{N} = 2^\ast\) Schur line defect correlators, Generating function of multiple polylog of Hurwitz type, Large \(N\) and large representations of Schur line defect correlators, Cyclic \(q\)-MZSV sum, Multiple zeta functions and polylogarithms over global function fields, Multiple zeta values vs. multiple zeta-star values, Sum of interpolated multiple \(q\)-zeta values, Interpolation of \(q\)-analogue of multiple zeta and zeta-star values, On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values, A generalization of the duality for finite multiple harmonic \(q\)-series, A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series, Cyclotomic analogues of finite multiple zeta values
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple harmonic series
- A generalization of the duality and sum formulas on the multiple zeta values
- Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
- Multiple \(q\)-zeta values
- Multiple zeta values of fixed weight, depth, and height
- Relations of multiple zeta values and their algebraic expression.
- Relations for multiple zeta values and Mellin transforms of multiple polylogarithms
- A \(q\)-analog of Euler's decomposition formula for the double zeta function
- On the sum formula for multiple \(q\)-zeta values
- On relations for the multiple \(q\)-zeta values
- Duality for finite multiple harmonic \(q\)-series
- Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
- Cyclic sum of multiple zeta values
- Knots and Feynman Diagrams
- Derivation and double shuffle relations for multiple zeta values
