Zp上有理函数的极小性准则

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-29 DOI:10.1016/j.jmaa.2025.129624

Sangtae Jeong, Yongjae Kwon

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引用次数: 0

摘要

在本文中，我们刻画了Zp上有理数函数的极小性准则，其中分母模p不为零。这一刻画是针对有理数函数的系数特别表述的，重点是在p等于2或3的情况下。对于任意素数p≥5，我们提供了这类函数极小性准则的显式表述，这取决于f模p约化的规定极小条件的成功确定。

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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Minimality criteria for rational functions over Zp

In this paper, we characterize the minimality criteria for a rational function on

Z_{p}

where the denominator possesses no zeros modulo p. This characterization is specifically formulated regarding the coefficients of a rational function, focusing on cases where p equals 2 or 3. For an arbitrary prime

p \geq 5

, we provide an explicit formulation of the minimality criterion for such functions, contingent on the successful determination of the prescribed minimal conditions for the reduction of f modulo p.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.