Supercongruences for some lacunary sums of powers of binomial coefficients

DOI10.1142/S1793042118501294zbMath1393.05023OpenAlexW2803250585WikidataQ129816019 ScholiaQ129816019MaRDI QIDQ4582736

Tamás Lengyel

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1142/s1793042118501294

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) Sequences (mod (m)) (11B50)

Cites Work

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• Congruences for Franel numbers
• On recurrences for sums of powers of binomial coefficients
• Some recurrences for sums of powers of binomial coefficients
• Recurrences for sums of powers of binomial coefficients
• On some lacunary sums of even powers of binomial coefficients
• Congruences for Catalan--Larcombe--French numbers
• On the rate of p-adic convergence of sums of powers of binomial coefficients
• Number Theory

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