Arithmetic properties and zeros of the Bergman kernel on a class of quotient domains

Luke D. Edholm, Vikram T. Mathew

An effective formula for the Bergman kernel on ${\mathbb{H}}_{\gamma }=\{|z_1{|}^{\gamma }<|z_2|<1\}$ is obtained for rational $\gamma =\frac{m}{n}>1$. The formula depends on arithmetic properties o…