This article is cited in 1 paper

On the cardinality of layers in even-valued $n$-dimensional lattice

T. V. Andreeva^a, Yu. S. Semenov<sup>b

a</sup> Bauman Moscow State Technical University, Moscow, 105005 Russia
^b Independent Researcher, Moscow, 111399 Russia

Abstract: In this article, we explicitly calculated terms additional to the main one of cardinality asymptotics of central layers in the $n$-dimensional $k$-valued lattice $E^n_k$ for even $k$ as $n\to\infty$. The main term had been found by V.B. Alekseev for a certain class of posets. The case of odd $k$, which is technically less complicated, was the major focus of our previous work.

Keywords: poset, layer, asymptotics, generating function.

UDC: 519.111

Received: 19.10.2021

DOI: 10.26907/2541-7746.2022.2-3.153-169

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