On the Cardinality of Layers in Even-Valued n-Dimensional Lattice

被引：0

作者：

Andreeva, T. V. ^{[1
]}

Semenov, Yu. S. ^{[1
]}

机构：

[1] Bauman Moscow State Tech Univ, Moscow 105005, Russia

来源：

UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI | 2022年 / 164卷 / 2-3期

关键词：

poset; layer; asymptotics; generating function;

D O I：

10.26907/2541-7746.2022.2-3.153-169

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Ek nfor even k as n -> infinity. 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.

引用

页码：153 / 169

页数：17

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