On binomial coefficients modulo squares of primes

zbMath1448.11048arXiv1712.02095MaRDI QIDQ5383268

Darij Grinberg

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1712.02095

zbMATH Keywords

congruencesbinomial coefficients

Mathematics Subject Classification ID

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

Related Items

Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\) ⋮ On binomial coefficients modulo squares of primes

Uses Software

• GitHub

Cites Work

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• Two triple binomial sum supercongruences
• Some binomial coefficient congruences
• \(t\)-unique reductions for Mészáros's subdivision algebra
• ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
• Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity
• An Alternate Approach to Alternating Sums: A Method to DIE for
• Using the “Freshman′s Dream” to Prove Combinatorial Congruences
• Applications of a Simple Counting Technique
• On binomial coefficients modulo squares of primes
• Combinatorial Proofs of Fermat's, Lucas's, and Wilson's Theorems

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