This article is cited in 1 paper

On the number of triangulation simplexes

M. Kh. Gizatullin

Samara State University

Abstract: We consider generating functions for the number of triangulation simplexes. We show that the binomial generating function is multiplicative. Certain exponential generating functions turn out to be solutions of evolutionary differential equations. We get congruences for the number of internal simplexes of certain triangulations generalizing the Staudt congruences for Bernoulli numbers.

UDC: 515.142.33

MSC: 05A15, 54E60

Received: 09.07.1991

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1995, 44:1, 1–20

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