Journal of Siberian Federal University. Mathematics & Physics / On Convergence of Mellin-Barnes Integrals Representing Solutions of General Algebraic Systems of 3 Equations with 3 Variables

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (3)
Authors
Senashov, Artem V.
Contact information
Senashov, Artem V.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
algebraic equations; Mellin-Barnes integral; convergence
Abstract

We consider the Mellin-Barnes integral that corresponds to a monomial function of a solution to a system of n algebraic equations in n variables. For n = 3 we prove that a known necessary condition for convergence for the Mellin-Barnes integral is also sufficient

Pages
339–344
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/33627