From Symmetric Functions to Partition Identities

被引：2

作者：

Merca, Mircea ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Fundamental Sci Appl Engn Res Ctr, Dept Math Methods & Models, Bucharest 060042, Romania

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

symmetric functions; q-binomial coefficients; partitions;

D O I：

10.3390/axioms12020126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.

引用

页数：13

共 7 条

[1]

Andrews G.E., 1976, THEORY PARTITIONS

[2]

Johnson W.P., 2020, INTRO QANALYSIS

[3]

MacDonald I.G., 1998, Symmetric Functions and Orthogonal Polynomials

[4]

Merca M, 2021, CONTRIB DISCRET MATH, V16, P20

[5] Bernoulli numbers and symmetric functions [J].

Merca, Mircea .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)

[6] GENERALIZATIONS OF TWO IDENTITIES OF GUO AND YANG [J].

Merca, Mircea .

QUAESTIONES MATHEMATICAE, 2018, 41 (05) :643-652

[7] A new look on the generating function for the number of divisors [J].

Merca, Mircea .

JOURNAL OF NUMBER THEORY, 2015, 149 :57-69

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