On the congruence of finite sums involving generalized harmonic numbers modulo $p^2$

DOI10.4064/ap210107-5-5zbMath1489.11008arXiv2011.14915OpenAlexW3194674143MaRDI QIDQ5028958

Aidas Medžiūnas

Publication date: 11 February 2022

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14915

zbMATH Keywords

Bernoulli numbercongruenceharmonic number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Cites Work

• Some summation formulas involving harmonic numbers and generalized harmonic numbers
• New congruences for central binomial coefficients
• An extension of a congruence by Tauraso
• Modulo \(p^2\) congruences involving generalized harmonic numbers
• Series representations for some mathematical constants
• Arithmetic theory of harmonic numbers
• Modulo $p^2$ congruences involving harmonic numbers
• Arithmetic theory of harmonic numbers (II)
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
• Unnamed Item

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