The \(p\)-adic valuations of sums of binomial coefficients

DOI10.1155/2021/9570350zbMath1477.11039OpenAlexW3196002052MaRDI QIDQ2666456

Peisen Yuan, Yong Zhang

Publication date: 22 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9570350

Mathematics Subject Classification ID

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

Cites Work

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• On the \(p\)-adic valuation of Stirling numbers of the first kind
• Binomial coefficients, Catalan numbers and Lucas quotients
• On 2-adic orders of some binomial sums
• Some congruences involving central \(q\)-binomial coefficients
• Some congruences for the Apéry numbers
• On the \(p\)-adic properties of Stirling numbers of the first kind
• Dwork-type supercongruences through a creative \(q\)-microscope
• Supercongruences involving Lucas sequences
• Congruences on sums of \(q\)-binomial coefficients
• A combinatorial identity with application to Catalan numbers
• Supercongruences for sporadic sequences
• On sums of binomial coefficients modulo p²
• ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
• Proof of a q-congruence conjectured by Tauraso
• 2-Adic valuations of Stirling numbers of the first kind
• Binomial coefficients and quadratic fields
• p-adic valuations of some sums of multinomial coefficients

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