In this talk, we explain the computation of the Bergman kernel for Hartogs triangle domains
given by $$extract_itex$$|z_1|^k<|z_2|<1$$/extract_itex$$ or $$extract_itex$$|z_1|<|z_2|^k<1$$/extract_itex$$ for any positive integer $$extract_itex$$k$$/extract_itex$$.
We also generalize this domain to higher dimensional cases and discuss the existence of the zeros of the Bergman kernel.