Explicit formula for the Bergman kernel on H_gamma for rational gamma >1 depends on arithmetic properties of gamma and yields sequences of domains approaching gamma=1 whose kernels have zeros, unlike the known zero-free case at gamma=1.
S.Explicit construction of moduli space of bounded complete Reinhardt domains in Cn
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Arithmetic properties and zeros of the Bergman kernel on a class of quotient domains
Explicit formula for the Bergman kernel on H_gamma for rational gamma >1 depends on arithmetic properties of gamma and yields sequences of domains approaching gamma=1 whose kernels have zeros, unlike the known zero-free case at gamma=1.