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math.CO2025
Tropicalising hypergeometric -functions
Marvin Anas Hahn, Brian O'Callaghan, Jonas Wahl
Weighted Hurwitz numbers arise as coefficients in the power sum expansion of deformed hypergeometric --functions. They specialise to essentially all known cases of Hurwitz numbe…
math.CO2025
A refined twist on Hurwitz numbers
Raphaël Fesler, Marvin Anas Hahn, Maksim Karev +1
We introduce a two-parameter refinement of the Jucys-Murphy theory, that we call the CJT-refinement, unifying Schur, zonal, and, conjecturally, Jack actions of the ring of symmetri…