Hypergeometric Series and the Mellin-Barnes Integrals for Zeros of a System of Laurent Polynomials

Abstract

Received 13.09.2019, received in revised form 06.11.2019, accepted 20.12.2019 Abstract. 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.