Geodesic
Conditions for convergence of the Mellin--Barnes integral for solution to system of algebraic equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 339-346.

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In the article we consider the Mellin–Barnes integral that corresponds to a monomial function of a solution to a system of $n$ algebraic equations in $n$ unknowns. We obtain the necessary condition for the convergence domain of the integral to be non empty. For $n=2$ we prove that this condition is also sufficient.
Keywords: Mellin–Barnes integral
Mots-clés : algebraic equations, convergence. 
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Vladimir R. Kulikov. Conditions for convergence of the Mellin--Barnes integral for solution to system of algebraic equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 339-346. http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a8/

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