Fabrizio Zanello

activity

20042026

most citedOn the shape of a pure O-sequence

6 citations · 36 across the 42 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.CO2013

The Catalan case of Armstrong's conjecture on simultaneous core partitions

Richard P. Stanley, Fabrizio Zanello

A beautiful recent conjecture of D. Armstrong predicts the average size of a partition that is simultaneously an $s$ -core and a $t$ -core, where $s$ and $t$ are coprime. Our goal is…

math.CO2013★ 2 cited

Zeilberger's KOH theorem and the strict unimodality of q-binomial coefficients

Fabrizio Zanello

A recent nice result due to I. Pak and G. Panova is the strict unimodality of the $q$ -binomial coefficients $(b a + b)_{q}$ (see \cite{PP} and also \cite{PP2} for a slightly rev…

math.CO2013★ 2 cited

Unimodality of partitions with distinct parts inside Ferrers shapes

Richard P. Stanley, Fabrizio Zanello

We investigate the rank-generating function $F_{λ}$ of the poset of partitions contained inside a given shifted Ferrers shape $λ$ . When $λ$ has four parts, we show that $F_{λ}$ is unim…