3 papers
math.CO2003
Jack polynomials and some identities for partitions
Michel Lassalle
We prove an identity about partitions involving new combinatorial coefficients. The proof given is using a generating function. As an application we obtain the explicit expression…
math.CO2002
A new family of positive integers
Michel Lassalle
Let n,p,k be three positive integers. We prove that the numbers binomial (n,k) 3F2 (1-k, -p, p-n ; 1, 1-n ; 1) are positive integers which generalize the classical binomial coeffic…
math.CO1999
A conjecture about partitions
Michel Lassalle
We present a conjecture about partitions, with a very elementary formulation.