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math.CO2018★ 3 cited
The top-degree part in the Matchings-Jack Conjecture
Adam Burchardt
In 1996 Goulden and Jackson introduced a family of coefficients indexed by triples of partitions which arise in the power sum expansion of some Cauchy sum for Jac…
math.CO2018
Algebras with two multiplications and their cumulants
Adam Burchardt
Cumulants are a notion that comes from the classical probability theory, they are an alternative to a notion of moments. We adapt the probabilistic concept of cumulants to the setu…