On some lacunary sums of even powers of binomial coefficients

DOI10.1142/S1793042117501305zbMath1375.05011OpenAlexW2610315966MaRDI QIDQ4595073

Tamás Lengyel

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042117501305

zbMATH Keywords

congruencesBernoulli numbersdivisibilitybinomial coefficientsharmonic numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

Supercongruences for some lacunary sums of powers of binomial coefficients ⋮ On the rate of p-adic convergence of sums of powers of binomial coefficients

Cites Work

• Congruences involving alternating multiple harmonic sums
• Divisibility properties of a class of binomial sums
• On the rate of p-adic convergence of sums of powers of binomial coefficients
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
• Unnamed Item

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