3 papers
math.CO2026
Cyclotomic generating functions, empty weighted complete intersections and positivity
Mona Gatzweiler, Fabián Levicán-Santibáñez, Atsuro Yoshida
We give a sufficient combinatorial condition for the non-negativity of the coefficients of polynomial quotients of products of -integers, also known as cyclotomic generating fun…
math.CO2026
More minor summation formulae
Shane Chern, Theresia Eisenkölbl, Ilse Fischer +8
We prove determinantal-Pfaffian formulae that simultaneously generalise the Pfaffian minor summation formula of Ishikawa and Wakayama and Byun's recent minor summation formula. The…
math.CO2025
Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants
Qipin Chen, Shane Chern, Atsuro Yoshida
Koutschan, Krattenthaler and Schlosser recently considered a family of binomial determinants. In this work, we give combinatorial interpretations of two subclasses of these determi…