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Subjects
11-XX Number theory
11Bxx Sequences and sets
11B65 Binomial coefficients; factorials; $q$ -identities

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Displaying 1 – 7 of 7

Decomposition of Pascal's kernels mod $p^{s}$ .

Kubelka, Richard P. (2002)

Integers

Definability within structures related to Pascal’s triangle modulo an integer

Alexis Bès, Ivan Korec (1998)

Fundamenta Mathematicae

Let Sq denote the set of squares, and let $S Q_{n}$ be the squaring function restricted to powers of n; let ⊥ denote the coprimeness relation. Let $B_{n} (x, y) = (\binom{x + y}{x}) M O D n$ . For every integer n ≥ 2 addition and multiplication are definable in the structures ⟨ℕ; Bn,⊥⟩ and ⟨ℕ; Bn,Sq⟩; thus their elementary theories are undecidable. On the other hand, for every prime p the elementary theory of ⟨ℕ; Bp,SQp⟩ is decidable.

Deformations of the Taylor formula.

Ferrand, Emmanuel (2007)

Journal of Integer Sequences [electronic only]

Démonstration «automatique» d'identités et fonctions hypergéométriques

Pierre Cartier (1991/1992)

Séminaire Bourbaki

Determinant expressions for $q$ -harmonic congruences and degenerate Bernoulli numbers.

Dilcher, Karl (2008)

The Electronic Journal of Combinatorics [electronic only]

Dixon's formula and identities involving harmonic numbers.

Wang, Xiaoxia, Li, Mei (2011)

Journal of Integer Sequences [electronic only]

Důkaz jedné věty o binomických součinitelích pomocí počtu pravděpodobnosti

Alois Zdráhal (1878)

Časopis pro pěstování mathematiky a fysiky

Currently displaying 1 – 7 of 7

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