Multiple harmonic series

From MaRDI portal
Publication:1188083

DOI10.2140/pjm.1992.152.275zbMath0763.11037OpenAlexW2000117364MaRDI QIDQ1188083

Michael E. Hoffman

Publication date: 3 August 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.152.275




Related Items (only showing first 100 items - show all)

Some identities for multiple Hurwitz zeta valuesSpecial values of multiple polylogarithmsExplorations in the Theory of Partition Zeta FunctionsConway polynomial and Magnus expansionWEIGHTED SUMS WITH TWO PARAMETERS OF MULTIPLE ZETA VALUES AND THEIR FORMULASON HOFFMAN'S RELATION FOR MULTIPLE ZETA-STAR VALUESTHIRTY-TWO GOLDBACH VARIATIONSMultiple zeta values, poly-Bernoulli numbers, and related zeta functionsOn restricted sum formulas for multiple zeta values with even argumentsEXPLICIT RELATIONS BETWEEN KANEKO-YAMAMOTO TYPE MULTIPLE ZETA VALUES AND RELATED VARIANTSOn the sum formula for the $q$-analogue of non-strict multiple zeta valuesWeighted sum formulas of multiple zeta values with even argumentsVanishing of multizeta values over at negative integersLucas congruences for the Ap\'ery numbers modulo $p^2$Duality of Weighted Sum Formulas of Alternating Multiple $T$-ValuesA symbolic approach to multiple zeta values at negative integersExplicit evaluation of Euler sumsLogarithmic integrals, zeta values, and tiered binomial coefficientsGeneralization of the non-local derangement identity and applications to multiple zeta-type seriesSome evaluation of parametric Euler sumsAnother 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 conjectureDirichlet type extensions of Euler sumsExtension of Hoffman's combinatorial identity via specific zeta-like seriesIdentity involving symmetric sums of regularized multiple zeta-star valuesModular graph functions and odd cuspidal functions. Fourier and Poincaré seriesDouble shuffle and Hoffman’s relations for interpolated multiple zeta valuesSeveral weighted sum formulas of multiple zeta valuesRealizations of the double shuffle relationsSum formulas for Schur multiple zeta valuesThe multiple Dirichlet product and the multiple Dirichlet seriesSYMMETRIC FUNCTIONS AND MULTIPLE ZETA VALUESBlack hole perturbation theory and multiple polylogarithmsApéry-type series and colored multiple zeta valuesOn a parametric \(K\)-fold series and its connection to Nielsen-Kölbig relationsComputation of the Mordell-Tornheim zeta valuesOn multiple zeta values of even argumentsMathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating SeriesInterpolation of multiple zeta and zeta-star valuesMultiple zeta functions and polylogarithms over global function fieldsOn the $a$-points of symmetric sum of multiple zeta functionGeneralizations of Euler decomposition and their applicationsConical zeta values and their double subdivision relationsAlternating multiple zeta values, and explicit formulas of some Euler-Apéry-type seriesRenewal sequences and record chains related to multiple zeta sumsA functional relation for analytic continuation of a multiple polylogarithmUniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota–Baxter AlgebrasArborified Multiple Zeta ValuesOn a Family of Polynomials Related to $$\zeta (2,1)=\zeta (3)$$A weighted sum formula for alternating multiple zeta-star valuesOn shuffle-type functional relations of desingularized multiple zeta-functionsA CONGRUENCE BETWEEN SYMMETRIC MULTIPLE ZETA-STAR VALUES AND MULTIPLE ZETA-STAR VALUESOn the sum formula for multiple \(q\)-zeta valuesOn \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star valuesNew properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s seriesOn Mordell-Tornheim zeta valuesA generating function for sums of multiple zeta values and its applicationsPeriods of mirrors and multiple zeta valuesPartition Identities for the Multiple Zeta FunctionAlgebraic Aspects of Multiple Zeta ValuesSum Relations for Multiple Zeta ValuesTwisted elliptic multiple zeta values and non-planar one-loop open-string amplitudesStructure of polyzetas and Lyndon wordsON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHTA note on evaluations of multiple zeta valuesMatrix representations for multiplicative nested sumsOn \(p\)-Bernoulli numbers and polynomialsBernoulli numbers and symmetric functionsSum formulas of multiple zeta values with selected argumentsExplicit formulas of sums involving harmonic numbers and Stirling numbersBipartite and directed scale-free complex networks arising from zeta functionsStructural properties of multiple zeta valuesEvaluations of Euler-type sums of weight \(\le 5\)Generalized log sine integrals and the Mordell-Tornheim zeta valuesp-adic multiple L-functions and cyclotomic multiple harmonic valuesA new proof of the duality of multiple zeta values and its generalizationsSome evaluations of infinite series involving parametric harmonic numbersDERIVATION RELATION FOR FINITE MULTIPLE ZETA VALUES INEvaluations of sums involving harmonic numbers and binomial coefficientsON GENERALIZATIONS OF WEIGHTED SUM FORMULAS OF MULTIPLE ZETA VALUESSome applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integralsStructure Theorems of Mixable Shuffle AlgebrasANALOGUES OF CYCLIC INSERTION-TYPE IDENTITIES FOR MULTIPLE ZETA STAR VALUESHarmonic Sums, Polylogarithms,Special Numbers, and Their GeneralizationsMultiple Zeta Values and Modular Forms in Quantum Field TheoryAsymptotic relations for truncated multiple zeta valuesMULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONSOn some explicit evaluations of nonlinear Euler sumsDuality for finite multiple harmonic \(q\)-seriesDouble shuffle relations for arborified zeta valuesUnnamed ItemSum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functionsSome relations deduced from regularized double shuffle relations of multiple zeta valuesOn certain mean values of the double zeta-functionNon-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain p-adic cyclotomic multiple zeta valuesSome relations of interpolated multiple zeta valuesProof of Kaneko–Tsumura conjecture on triple T-valuesEXTENSIONS OF EULER-TYPE SUMS AND RAMANUJAN-TYPE SUMSAlternating double \(t\)-values and \(T\)-values




This page was built for publication: Multiple harmonic series