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

J. Sib. Fed. Univ. Math. Phys., 2010 Volume 3, Issue 3, Pages 389–394 (Mi jsfu138)

On the asymptotics of the vector partition function

Denis E. Leinartas

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We obtain the asymptotic estimate for the vector partition function by using generating functions and the integral representations method.

Keywords: generating function, integral representation, amoeba of the algebraic hypersurface.

UDC: 517.55

Received: 18.04.2010
Received in revised form: 25.05.2010
Accepted: 10.06.2010



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