Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights

被引：0

作者：

Kim, Jiseong ^{[1
]}

机构：

[1] Univ Mississippi, Dept Math, Hume Hall 335, Oxford, MS 38677 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 531卷 / 02期

关键词：

Pointwise ergodic theorem; Arithmetic functions; Hecke eigenvalues; Divisor functions; THEOREMS;

D O I：

10.1016/j.jmaa.2023.127877

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the Hecke eigenvalue square for a holomorphic cusp form and the Piltz divisor functions are good weighting functions for the pointwise ergodic theorem. Additionally, we prove similar results for various other arithmetical functions in the last section.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：20

共 17 条

[1] Ergodic averages with prime divisor weights in L1
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ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2019, 39 : 889 - 897
[2] Ergodic averages with deterministic weights
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Schneider, D
ANNALES DE L INSTITUT FOURIER, 2002, 52 (02) : 561 - +
[3] Ergodic averages with generalized weights
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[4] WEIGHTS FOR ERGODIC SQUARE FUNCTIONS
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[5] On the homogeneous ergodic bilinear averages with Mobius and Liouville weights
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[6] Ergodic averages with vector-valued Besicovitch weights
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[7] Ergodic averages with vector-valued Besicovitch weights
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[8] WEIGHTS FOR THE ERGODIC MAXIMAL OPERATOR AND AE CONVERGENCE OF THE ERGODIC AVERAGES FOR FUNCTIONS IN LORENTZ SPACES
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TOHOKU MATHEMATICAL JOURNAL, 1993, 45 (03) : 437 - 446
[9] A NONCOMMUTATIVE WEAK TYPE MAXIMAL INEQUALITY FOR MODULATED ERGODIC AVERAGES WITH GENERAL WEIGHTS
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COLLOQUIUM MATHEMATICUM, 2024, 175 (01) : 115 - 136
[10] Weak-type inequalities and convergence of the ergodic averages in variable Lebesgue spaces with weights
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Ortega Salvador, Pedro
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2009, 139 : 673 - 683

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