Polynomial extension of Fleck's congruence

DOI10.4064/aa122-1-9zbMath1104.11010arXivmath/0507008OpenAlexW3100785788MaRDI QIDQ5478121

Zhi-Wei Sun

Publication date: 30 June 2006

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507008

zbMATH Keywords

congruencesbinomial coefficients\(p\)-adic fields

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) Polynomials (11S05)

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Binomial coefficients, roots of unity and powers of prime numbers, A number-theoretic approach to homotopy exponents of \(\text{SU}(n)\), Factors of some lacunary \(q\)-binomial sums, Unnamed Item, Fleck's congruence, associated magic squares and a zeta identity, Combinatorial congruences modulo prime powers, LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS, A generalization of the Gaussian formula and a \(q\)-analog of Fleck's congruence, Congruences for certain lacunary sums of products of binomial coefficients