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 2017Show all

3 papers · 1 filter

math.CO2017

A generalization of a 1998 unimodality conjecture of Reiner and Stanton

Richard P. Stanley, Fabrizio Zanello

An interesting, and still wide open, conjecture of Reiner and Stanton predicts that certain "strange" symmetric differences of $q$ -binomial coefficients are always nonnegative and…

math.CO2017

On the density of the odd values of the partition function, II: An infinite conjectural framework

Samuel D. Judge, Fabrizio Zanello

We continue our study of a basic but seemingly intractable problem in integer partition theory, namely the conjecture that $p (n)$ is odd exactly $50%$ of the time. Here, we greatl…

math.CO2017

On Bergeron's positivity problem for $q$ -binomial coefficients

Fabrizio Zanello

F. Bergeron recently asked the intriguing question whether $(b b + c)_{q} - (d a + d)_{q}$ has nonnegative coefficients as a polynomial in $q$ , whenever $a, b, c, d$ are positive…

A generalization of a 1998 unimodality conjecture of Reiner and Stanton

On the density of the odd values of the partition function, II: An infinite conjectural framework

On Bergeron's positivity problem for q-binomial coefficients

On Bergeron's positivity problem for $q$ -binomial coefficients