p-adic valuations of some sums of multinomial coefficients
Parity theorems for statistics on lattice paths and Laguerre configurations.
Partial Bell polynomials and inverse relations.
Pascal's triangle (mod 9)
Permutations avoiding an increasing number of length-increasing forbidden subsequences.
Pilesize dynamic one-pile Nim and Beatty's theorem.
Playing with some identities of Andrews.
Polynomial analogues of Ramanujan congruences for Han's hooklength formula
This article considers the eta power . It is proved that the coefficients of in this expression, as polynomials in b, exhibit equidistribution of the coefficients in the nonzero residue classes mod 5 when n = 5j+4. Other symmetries, as well as symmetries for other primes and prime powers, are proved, and some open questions are raised.
Polynomial extension of Fleck's congruence
Polynomials of multipartitional type and inverse relations
Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.
Powers of a matrix and combinatorial identities.
Prime divisors of -binomial coefficients
Prime factors of binomial coefficients and related problems
Proof of a determinant evaluation conjectured by Bombieri, Hunt and van Poorten.
Properties of the van der Pol numbers and polynomials.
Propriétés arithmétiques des polynômes d'Euler