QUASI-SYMMETRIC FUNCTIONS AND MOD <b><i>p </i></b>MULTIPLE HARMONIC SUMS

From MaRDI portal
Publication:3455792

DOI10.2206/kyushujm.69.345zbMath1382.11066arXivmath/0401319OpenAlexW1894352973MaRDI QIDQ3455792

Michael E. Hoffman

Publication date: 11 December 2015

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

Full work available at URL: https://arxiv.org/abs/math/0401319




Related Items (42)

A generalized regularization theorem and Kawashima's relation for multiple zeta valuesYamamoto's interpolation of finite multiple zeta and zeta-star valuesWeighted sum formulas of multiple zeta values with even argumentsBowman-Bradley type theorem for finite multiple zeta valuesOn functional equations of finite multiple polylogarithmsOn Schur multiple zeta functions: a combinatoric generalization of multiple zeta functionsA new integral-series identity of multiple zeta values and regularizationsOHNO-TYPE RELATION FOR FINITE MULTIPLE ZETA VALUESFINITE MULTIPLE ZETA VALUES, MULTIPLE ZETA FUNCTIONS AND MULTIPLE BERNOULLI POLYNOMIALSSome \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sumsFinite multiple zeta values associated with 2-colored rooted treesNew functional equations of finite multiple polylogarithmsIdentity involving symmetric sums of regularized multiple zeta-star valuesDuality for finite/symmetric multiple zeta values of fixed weight, depth, and heightSUPERCONGRUENCES OF MULTIPLE HARMONIC <i>q</i>-SUMS AND GENERALIZED FINITE/SYMMETRIC MULTIPLE ZETA VALUESOhno relation for regularized multiple zeta valuesA \(q\)-deformation of enriched \(P\)-partitionsDerivation relations for finite multiple zeta valuesOn the linear relations among parametrized multiple seriesOn three conjectural congruences of Z.-H. Sun involving Apéry and Apéry-like numbersModulo $p^2$ congruences involving harmonic numbersMod \(p\) structure of alternating and non-alternating multiple harmonic sums$p$-adic $L$-functions and classical congruencesCyclic sums of finite multiple zeta valuesFinite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functionsSum formula for finite multiple zeta valuesFinite Mordell-Tornheim multiple zeta valuesOHNO-TYPE RELATIONS FOR CLASSICAL AND FINITE MULTIPLE ZETA-STAR VALUESAlternating variants of multiple poly-Bernoulli numbers and finite multiple zeta values in characteristic 0 and pNew properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s seriesOhno-type identities for multiple harmonic sumsQuasi-derivation relations for multiple zeta values revisitedModulo \(p^2\) congruences involving generalized harmonic numbersA class of relations among multiple zeta valuesANALOGUES OF THE AOKI–OHNO AND LE–MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUESOn some congruences involving Domb numbers and harmonic numbersRestricted sum formula for finite and symmetric multiple zeta valuesWeighted sum formula for multiple harmonic sums modulo primesA note on harmonic number identities, Stirling series and multiple zeta valuesDERIVATION RELATION FOR FINITE MULTIPLE ZETA VALUES INQuasi-shuffle algebras and applicationsCyclotomic analogues of finite multiple zeta values


Uses Software



This page was built for publication: QUASI-SYMMETRIC FUNCTIONS AND MOD <b><i>p </i></b>MULTIPLE HARMONIC SUMS