Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values

From MaRDI portal
Publication:2796474

DOI10.1142/9634zbMath1367.11002OpenAlexW4230781866MaRDI QIDQ2796474

Jianqiang Zhao

Publication date: 24 March 2016

Published in: Series on Number Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9634




Related Items (63)

Alternating double \(t\)-values and \(T\)-valuesFinite and symmetric colored multiple zeta values and multiple harmonic \(q\)-series at roots of unityExplicit formulas of alternating multiple zeta star values \(\zeta^\star(\bar{1}, \{1\}_{m-1}, \bar{1})\) and \(\zeta^\star(2, \{1\}_{m-1}, \bar{1})\)Euler-type sums involving multiple harmonic sums and binomial coefficientsEXPLICIT RELATIONS BETWEEN KANEKO-YAMAMOTO TYPE MULTIPLE ZETA VALUES AND RELATED VARIANTSDuality of Weighted Sum Formulas of Alternating Multiple $T$-ValuesTwo variants of Euler sumsTaylor coefficients of Anderson-Thakur series and explicit formulaeAnother look at Zagier's formula for multiple zeta values involving Hoffman elementsEuler sums of multiple hyperharmonic numbersOn variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjectureDouble shuffle relations for refined symmetric multiple zeta valuesExtension of Hoffman's combinatorial identity via specific zeta-like seriesGlobal series for height 1 multiple zeta functionsOn Thakur’s basis conjecture for multiple zeta values in positive characteristicOn two conjectures of Sun concerning Apéry-like seriesMultiple zeta values and idelesFinite and symmetrized colored multiple zeta valuesEvaluation of and period polynomial relationsRota-Baxter algebras and left weak composition quasi-symmetric functionsA \(q\)-analogue of symmetric multiple zeta valueApéry-type series and colored multiple zeta valuesDuality of one-variable multiple polylogarithms and their \(q\)-analoguesTree-level amplitudes from the pure spinor superstringOHNO–ZAGIER TYPE RELATIONS FOR MULTIPLE t-VALUESOn a parametric \(K\)-fold series and its connection to Nielsen-Kölbig relationsAlternating multiple \(T\)-values: weighted sums, duality, and dimension conjectureLocality Galois groups of meromorphic germs in several variablesIntegrality of \(v \)-adic multiple zeta valuesOn shuffle of double Eisenstein series in positive characteristicMultizeta values for function fields: A surveyOn finite Carlitz multiple polylogarithmsUnnamed ItemDeformation of multiple zeta values and their logarithmic interpretation in positive characteristicHoffman’s conjectural identityOn a conjecture of Furusho over function fieldsEvaluation of Euler-like sums via Hurwitz zeta valuesRota-Baxter operators and Bernoulli polynomialsExplicit evaluations for several variants of Euler sumsZeta-like multizeta values for higher genus curvesAlternating variants of multiple poly-Bernoulli numbers and finite multiple zeta values in characteristic 0 and pA finite analogue of the ring of algebraic numbersSequential discontinuities of Feynman integrals and the monodromy groupOn lower bounds of the dimensions of multizeta values in positive characteristicComputation and Experimental Evaluation of Mordell–Tornheim–Witten Sum DerivativesOn multiple zeta values of level twoMultiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integersCoaction and double-copy properties of configuration-space integrals at genus zeroExplicit relations between multiple zeta values and related variantsDuality formulas for Arakawa-Kaneko zeta values and related variantsANALOGUES OF THE AOKI–OHNO AND LE–MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUESA \(t\)-motivic interpretation of shuffle relations for multizeta valuesRestricted sum formula for finite and symmetric multiple zeta valuesFinite and symmetric Mordell-Tornheim multiple zeta valuesClean single-valued polylogarithmsMultivariable connected sums and multiple polylogarithmsOn some weighted sum formulas involving general multiple zeta-type seriesWeighted sum formulas of multiple \(t\)-values with even argumentsOn some explicit evaluations of nonlinear Euler sumsEvaluations of some Euler-Apéry-type seriesVariants of multiple zeta values with even and odd summation indicesProof of Kaneko–Tsumura conjecture on triple T-valuesEXTENSIONS OF EULER-TYPE SUMS AND RAMANUJAN-TYPE SUMS







This page was built for publication: Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values