奇周期多项式零点的交错

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-10-18 DOI:10.1016/j.jmaa.2024.128976

Grace Ko , Jennifer Mackenzie , Hui Xue

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引用次数: 0

摘要

Conrey、Farmer 和 Imamoglu 的研究表明，一级 Hecke 特征形式的奇周期多项式的所有非小零点都位于单位圆上。我们进一步证明，不同权重的 Hecke 特征形式的奇周期多项式的非琐零点具有某些交错特性。

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Interlacing of zeros of odd period polynomials

The work of Conrey, Farmer and Imamoglu shows that all nontrivial zeros of the odd period polynomial of a Hecke eigenform of level one lie on the unit circle. We further show that nontrivial zeros of odd period polynomials of Hecke eigenforms of different weights share certain interlacing property.

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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.