论五次正多项式的 P-Irreducibility

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED IMA Journal of Applied Mathematics Pub Date : 2024-08-18 DOI:10.1093/imamat/hxae021

Takeo Kamizawa, Andrzej Jamiołkowski, Takashi Matsuoka, Noboru Watanabe

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引用次数: 0

摘要

在本文中，我们将讨论正多项式的可p性/不可p性，并给出五次多项式可p性/不可p性的一些充分条件。这项研究与生物化学中的一些问题密切相关，尤其是生物系统中的合作性问题。我们将研究我们的成果在这些问题上的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the P-Irreducibility of Quintic Positive Polynomials

In this paper we will discuss the p-reducibility/irreducibility of positive polynomials, and we will give some sufficient conditions for quintic polynomials to be p-reducible/irreducible. This research is closely related to some problems in bio-chemistry, especially to the cooperativity in bio-systems. We will study some applications of our results to these problems.

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来源期刊

IMA Journal of Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

24 months

期刊介绍： The IMA Journal of Applied Mathematics is a direct successor of the Journal of the Institute of Mathematics and its Applications which was started in 1965. It is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable articles in the life sciences, social sciences, and finance. Submissions should address interesting and challenging mathematical problems arising in applications. A good balance between the development of the application(s) and the analysis is expected. Papers that either use established methods to address solved problems or that present analysis in the absence of applications will not be considered. The journal welcomes submissions in many research areas. Examples are: continuum mechanics materials science and elasticity, including boundary layer theory, combustion, complex flows and soft matter, electrohydrodynamics and magnetohydrodynamics, geophysical flows, granular flows, interfacial and free surface flows, vortex dynamics; elasticity theory; linear and nonlinear wave propagation, nonlinear optics and photonics; inverse problems; applied dynamical systems and nonlinear systems; mathematical physics; stochastic differential equations and stochastic dynamics; network science; industrial applications.