%0 Journal Article %T The Bergman kernel of a certain Hartogs domain and the polylogarithm function %A Atsushi Yamamori %J Mathematics %D 2010 %I arXiv %X We consider a certain Hartogs domain which is related to the Fock-Bargmann space. We give an explicit formula for the Bergman kernel of the domain in terms of the polylogarithm functions. Moreover we solve the Lu Qi-Keng problem of the domain in some cases. %U http://arxiv.org/abs/1008.5339v1