Showing math.COShow all
3 papers · 1 filter
math.CO2010
A Unified Combinatorial Approach to Several Poincare Series Identities
Paul Levande
Mendes recently conjectured an identity simplifying the Poincaré series of the space of equivariant polynomial maps from to a subrepresentation of $Sym^{2}(\mathbb…
math.CO2009
Combinatorial Proofs of an Identity from Ramanujan's Lost Notebook and its Variations
Paul Levande
We examine an identity originally stated in Ramanujan's ``lost notebook'' and first proven algebraically by Andrews and combinatorially by Kim. We give two independent combinatoria…
math.CO2009
Colorful Proofs of the Generating Formulas for Signed and Unsigned Stirling Numbers of the First Kind
Paul Levande
We describe proofs of the standard generating formulas for unsigned and signed Stirling numbers of the first kind that follow from a natural combinatorial interpretation based on c…