Variations on Wolstenholme's Theorem

DOI10.2307/2975168zbMath0836.11002OpenAlexW4231557115MaRDI QIDQ4859615

Emre Alkan

Publication date: 28 April 1996

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975168

zbMATH Keywords

congruencesdivisibilityWolstenholme's theorem

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07)

Related Items (13)

PROOF OF A CONGRUENCE FOR HARMONIC NUMBERS CONJECTURED BY Z.-W. SUN ⋮ Trigonometric series and special values of \(L\)-functions ⋮ Almost all hyperharmonic numbers are not integers ⋮ Divisibility properties of hyperharmonic numbers ⋮ An extension of a congruence by Tauraso ⋮ Modulo $p^2$ congruences involving harmonic numbers ⋮ WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS ⋮ A congruence for some generalized harmonic type sums ⋮ Structural properties of Dirichlet series with harmonic coefficients ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ Modulo \(p^2\) congruences involving generalized harmonic numbers ⋮ Unnamed Item ⋮ Arithmetic theory of harmonic numbers

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