Geodesic
Zeros of holomorphic functions of finite order in the polydisc
Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 103-112 Cet article a éte moissonné depuis la source Math-Net.Ru

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Estimates are proved for the volume of the zero set of a holomorphic function of finite order in the polydisc. These estimates make it possible to solve a problem posed by Stoll: namely, to prove that $\operatorname{ord}M=\min\{\operatorname{ord}f\}$ for an analytic subset $M$ of codimension 1 in the polydisc $D^n$ and holomorphic functions $f$ having $M$ as zero set. Bibliography: 7 titles. 
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     author = {P. L. Polyakov},
     title = {Zeros of holomorphic functions of finite order in the polydisc},
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P. L. Polyakov. Zeros of holomorphic functions of finite order in the polydisc. Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 103-112. http://geodesic.mathdoc.fr/item/SM_1988_61_1_a6/

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[5] Henkin G. M., Polyakov P. L., “Les zéros des fonctions holomorphes d'order fini dans le bidisque”, C. R. Acad. Sc. Paris. Ser. I, 298:1 (1984), 5–8 | MR | Zbl

[6] Charpentier Ph., Resolution de l'equation $\overline{\partial u}=f$ et application aux zéros des fonctions holomorphes dans le bidisque, Preprint, Universite de Bordeaux, 1984

[7] Lelong P., Fonctions plurisousharmoniques et formes differentielles positives, Gordon Breach, Paris, 1968 | MR | Zbl