Geodesic
Hypergeometric series and the Mellin--Barnes integrals for zeros of a system of Laurent polynomials
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 1, pp. 87-96

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In the article we present a criterion for convergence of the Mellin–Barnes integral for zeros of a system of Laurent polynomials. Also we give a hypergeometric series for these zeros.
Keywords: Mellin–Barnes integrals, hypergeometric series
Mots-clés : Laurent polynomials. 
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     author = {Vladimir R. Kulikov},
     title = {Hypergeometric series and the {Mellin--Barnes} integrals for zeros of a system of {Laurent} polynomials},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {87--96},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a7/}
}
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Vladimir R. Kulikov. Hypergeometric series and the Mellin--Barnes integrals for zeros of a system of Laurent polynomials. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 1, pp. 87-96. http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a7/