Large Deviations for the d'Arcais Numbers

Shannon Starr

The d'Arcais polynomials $P_n(z)$ for $n\in \{0,1,\dots \}$ are defined as ${\sum }_{n=0}^{\infty }{P}_n(z)q^n=\exp (-z\ln ((q;q{)}_{\infty }))$ where the $q$-Pochhammer symbol is $(q;q)_{\…