Geodesic
Zeroes of the Bergman kernel of Hartogs domains
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 199-202.

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We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary which are not Lu Qi-Keng, i.e. whose Bergman kernel function has a zero.
Classification : 32A07, 32A25, 32H10
Keywords: Lu Qi-Keng conjecture; Hartogs domain; Bergman kernel 
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     title = {Zeroes of the {Bergman} kernel of {Hartogs} domains},
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Engliš, Miroslav. Zeroes of the Bergman kernel of Hartogs domains. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 199-202. http://geodesic.mathdoc.fr/item/CMUC_2000__41_1_a19/