Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms

From MaRDI portal
Publication:926486

DOI10.1007/S11139-007-9025-9zbMath1200.11065arXivmath/0304448OpenAlexW1777563469MaRDI QIDQ926486

Jianqiang Zhao

Publication date: 20 May 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304448




Related Items (52)

Bachmann-Kühn's brackets and multiple zeta values at level \(N\)Duality and (\(q\)-)multiple zeta valuesEvaluations of multiple Dirichlet \(L\)-values via symmetric functionsON <i>q</i>-ANALOGUES OF ZETA FUNCTIONS OF ROOT SYSTEMSThe algebra of generating functions for multiple divisor sums and applications to multiple zeta valuesIntegral representations of \(q\)-analogues of the Hurwitz zeta functionFamilies of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their ApplicationsWeak stuffle algebrasApplications of shuffle product to restricted decomposition formulas for multiple zeta valuesA note on the sum of finite multiple harmonic q -series on r -( r + 1) indicesParity result for \(q\)- and elliptic analogues of multiple polylogarithmsRota-Baxter algebras and left weak composition quasi-symmetric functions\(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functionsOn the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functionsTopological properties of q-analogues of multiple zeta valuesExact \(\mathcal{N} = 2^\ast\) Schur line defect correlatorsGenerating function of multiple polylog of Hurwitz typeLarge \(N\) and large representations of Schur line defect correlatorsBalanced multiple q-zeta values\(q\)-deformations of statistical mechanical systems and motives over finite fieldsSome results on \(q\)-harmonic number sumsMultiple zeta values vs. multiple zeta-star valuesHeat trace and spectral action on the standard Podleś sphereOn \(q\)-analogues of quadratic Euler sumsQuadratic relations for a \(q\)-analogue of multiple zeta valuesSum of interpolated multiple \(q\)-zeta valuesMultiple Eisenstein Series and q-Analogues of Multiple Zeta ValuesA Dimension Conjecture for q-Analogues of Multiple Zeta ValuesUniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota–Baxter Algebrasq-Analogues of Multiple Zeta Values and Their Application in RenormalizationInterpolation of \(q\)-analogue of multiple zeta and zeta-star valuesOn \(q\)-analogues of multiple zeta valuesDerivations on the algebra of multiple harmonic \(q\)-series and their applicationsRenormalization of multiple \(q\)-zeta valuesSome evaluation of \(q\)-analogues of Euler sumsOn relations for the multiple \(q\)-zeta valuesOn \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star valuesSum of multiple $q$-zeta valuesA family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbersCarlitz's \(q\)-Bernoulli and \(q\)-Euler numbers and polynomials and a class of generalized \(q\)-Hurwitz zeta functionsIdentities for sums of a \(q\)-analogue of polylogarithm functionsFinite and symmetric Mordell-Tornheim multiple zeta valuesA $q$-analogue of non-strict multiple zeta values and basic hypergeometric seriesOn multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomialsOn interpolation functions of the generalized twisted \((h,q)\)-Euler polynomialsA Restricted Sum Formula for a q-Analogue of Multiple Zeta ValuesCyclotomic analogues of finite multiple zeta valuesDuality for finite multiple harmonic \(q\)-seriesUNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUESOn Euler's decomposition formula for \(q\)MZVsOn Bradley's \(q\)-MZVs and a generalized Euler decomposition formulaRenormalisation of \(q\)-regularised multiple zeta values




Cites Work




This page was built for publication: Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms