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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2011 Volume 4, Issue 3, Pages 344–349 (Mi jsfu192)

This article is cited in 2 papers

Integral convergence criterion for the multiple series

Elena V. Zubchenkova

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We proved an integral convergence criterion for the series, representing the sum of a rational function over the lattice.

Keywords: elliptic polynomial, quasi-elliptic polynomial, multiple series, Newton polytope.

UDC: 517.53+517.52

Received: 18.02.2011
Received in revised form: 25.03.2011
Accepted: 10.04.2011



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