q-rious unimodality

2025/02/06 by Warnaar, S. Ole, Zudilin, Wadim
#11B83 #11C08 #33D15 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary 11B65 #Representation Theory (math.RT) #Secondary 05A10

paper · doi:10.48550/arxiv.2502.03993

Abstract

We generalise our still-wide-open q-rious positivity conjecture from 2011 to a q-rious unimodality conjecture.

Related

• q-rious and q-riouser
• Around Zilber's quasiminimality conjecture
• q-Binomials and related symmetric unimodal polynomials
• An infinite family of counterexamples to a conjecture on positivity
• Positivity, singularities, and boundedness