亚纯函数商的一个结果及其在l -函数中的应用

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-02-10 DOI:10.1016/j.jmaa.2025.129348

Bao Qin Li

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引用次数: 0

摘要

给出了一类亚纯函数的零点和极点计数函数的估计，并通过实例证明了该估计是最优可能的，然后将其应用于数论中l -函数的非平凡零点和a点的对称差的估计。

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A result on quotient of meromorphic functions and its application to L-functions

We give an estimate on counting functions of zeros and poles for a class of meromorphic functions, which is shown to be best possible by examples, and then apply it to estimate the symmetric difference of nontrivial zeros and a-points of L-functions in number theory.

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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.