A Note on Systems of Equations of Power Sums

R. Gao; J. Liao; H. Liu; H. Xiong; X. Xu

doi:10.1134/S0001434622050194

A Note on Systems of Equations of Power Sums

R. Gao^*
, J. Liao
, H. Liu
, H. Xiong
, X. Xu

^*Corresponding author for this work

School of Mathematics

Hubei University
Hainan University

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: Symmetric functions play an important role in several subjects of mathematics, such as algebraic combinatorics, representation theory of finite groups and algebraic geometry. In this paper, we study the solutions of the following system of equations related to bases of symmetric functions: (Formula presented.) are natural numbers, and (Formula presented.). Our main theorems generalize several known results.

Original language	English
Pages (from-to)	855-869
Number of pages	15
Journal	Mathematical Notes
Volume	111
Issue number	5-6
DOIs	https://doi.org/10.1134/S0001434622050194
State	Published - Jun 2022

Keywords

Newton’s formula
power sum
symmetric function

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10.1134/S0001434622050194

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title = "A Note on Systems of Equations of Power Sums",

abstract = "Abstract: Symmetric functions play an important role in several subjects of mathematics, such as algebraic combinatorics, representation theory of finite groups and algebraic geometry. In this paper, we study the solutions of the following system of equations related to bases of symmetric functions: (Formula presented.) are natural numbers, and (Formula presented.). Our main theorems generalize several known results.",

keywords = "Newton{\textquoteright}s formula, power sum, symmetric function",

author = "R. Gao and J. Liao and H. Liu and H. Xiong and X. Xu",

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year = "2022",

month = jun,

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AU - Gao, R.

AU - Liao, J.

AU - Liu, H.

AU - Xiong, H.

AU - Xu, X.

PY - 2022/6

Y1 - 2022/6

N2 - Abstract: Symmetric functions play an important role in several subjects of mathematics, such as algebraic combinatorics, representation theory of finite groups and algebraic geometry. In this paper, we study the solutions of the following system of equations related to bases of symmetric functions: (Formula presented.) are natural numbers, and (Formula presented.). Our main theorems generalize several known results.

AB - Abstract: Symmetric functions play an important role in several subjects of mathematics, such as algebraic combinatorics, representation theory of finite groups and algebraic geometry. In this paper, we study the solutions of the following system of equations related to bases of symmetric functions: (Formula presented.) are natural numbers, and (Formula presented.). Our main theorems generalize several known results.

KW - Newton’s formula

KW - power sum

KW - symmetric function

UR - https://www.scopus.com/pages/publications/85132798906

U2 - 10.1134/S0001434622050194

DO - 10.1134/S0001434622050194

M3 - 文章

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VL - 111

SP - 855

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JO - Mathematical Notes

JF - Mathematical Notes

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A Note on Systems of Equations of Power Sums

Abstract

Keywords

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