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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.CO2025
Color rules for cyclic wreath products and semigroup algebras from projective toric varieties
Fabián Levicán-Santibáñez, Marino Romero
We introduce the notion of "color rules" for computing class functions of , where is the cyclic group of order and is the symmetric group on letter…