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math.NT2003
On the prime power factorization of n!
Florian Luca, Pantelimon Stanica
In this paper we prove two results. The first theorem uses a paper of Kim \cite{K} to show that for fixed primes , and for fixed integers , with $p_i\not|…
math.NT2001
Products of Factorials Modulo p
Florian Luca, Pantelimon Stanica
A study of products of factorials modulo p and complete residues.
math.NT2000
p^q-Catalan Numbers and Squarefree Binomial Coefficients
Pantelimon Stanica
In this paper we consider the generalized Catalan numbers F(s,n)= 1/((s-1)n+1) binom{sn}{n}. We find all such that for prime, p^q divides F(p^q,n), q>=1. As a byproduct we…