WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
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Publication:5386984
DOI10.1142/S1793042108001146zbMath1218.11005MaRDI QIDQ5386984
Publication date: 14 May 2008
Published in: International Journal of Number Theory (Search for Journal in Brave)
Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (44)
PROOF OF A CONGRUENCE FOR HARMONIC NUMBERS CONJECTURED BY Z.-W. SUN ⋮ CONGRUENCES CONCERNING JACOBI POLYNOMIALS AND APÉRY-LIKE FORMULAE ⋮ Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\) ⋮ Bowman-Bradley type theorem for finite multiple zeta values ⋮ A family of super congruences involving multiple harmonic sums ⋮ On functional equations of finite multiple polylogarithms ⋮ Some conjectural supercongruences related to Bernoulli and Euler numbers ⋮ Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums ⋮ A note on the congruences with sums of powers of binomial coefficients ⋮ Finite multiple zeta values associated with 2-colored rooted trees ⋮ New functional equations of finite multiple polylogarithms ⋮ On the \(\pmod{p^7}\) determination of \({2p-1\choose p-1}\) ⋮ New multiple harmonic sum identities ⋮ SUPERCONGRUENCES OF MULTIPLE HARMONIC <i>q</i>-SUMS AND GENERALIZED FINITE/SYMMETRIC MULTIPLE ZETA VALUES ⋮ Finite and symmetrized colored multiple zeta values ⋮ On some lacunary sums of even powers of binomial coefficients ⋮ Congruences for Apéry numbers βn =∑k=0nn k2n+k k ⋮ An extension of a congruence by Tauraso ⋮ Mod \(p\) structure of alternating and non-alternating multiple harmonic sums ⋮ Double shuffle for finite multizetas and symmetrized multizetas ⋮ $p$-adic $L$-functions and classical congruences ⋮ Finite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functions ⋮ Sum formula for finite multiple zeta values ⋮ Some congruences for generalized harmonic numbers and binomial coefficients with roots of unity ⋮ Some congruences on harmonic numbers and binomial sums ⋮ Congruences arising from Apéry-type series for zeta values ⋮ New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series ⋮ Ohno-type identities for multiple harmonic sums ⋮ A generalization of the duality for finite multiple harmonic \(q\)-series ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ A FAMILY OF MULTIPLE HARMONIC SUM AND MULTIPLE ZETA STAR VALUE IDENTITIES ⋮ More congruences for central binomial coefficients ⋮ Finite real multiple zeta values generate the whole space Z ⋮ Modulo \(p^2\) congruences involving generalized harmonic numbers ⋮ A bivariate generating function for zeta values and related supercongruences ⋮ ANALOGUES OF THE AOKI–OHNO AND LE–MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUES ⋮ Two congruences concerning Apéry numbers conjectured by Z.-W. Sun ⋮ Arithmetic theory of harmonic numbers ⋮ Asymptotic relations for truncated multiple zeta values ⋮ A generalization of the duality for multiple harmonic sums ⋮ Congruences for Wolstenholme primes ⋮ THE UNIVERSAL KUMMER CONGRUENCES ⋮ MULTIPLE HARMONIC SUMS AND WOLSTENHOLME'S THEOREM ⋮ On the congruence of finite sums involving generalized harmonic numbers modulo $p^2$
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