Hurwitz numbers for reflection groups I: generatingfunctionology

RT @mathCObot: Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales: Hurwitz numbers for reflection groups I: Generatingfunctionolo…

of exponentials of the variable. [6/6 of https://t.co/CHCD4EorpO]

number-theoretic functions. We also study the structural properties of such generating functions for any complex reflection group; in particular, we show via representation-theoretic methods that they can by expressed as finite sums [5/6 of https://t.co…

cyclic group of order $m/p$. As a corollary, we obtain leading-term formulas which count minimum-length full reflection factorizations of an arbitrary element in $G(m,p,n)$ in terms of the Hurwitz numbers of genus $0$ and $1$ and [4/6 of https://t.co/CH…