具有少量不可约因子的函数域上的随机乘法函数和

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2021-08-18 DOI:10.1017/S030500412200010X

Daksh Aggarwal, Unique Subedi, William Verreault, Asif Zaman, Chenghui Zheng

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引用次数: 0

摘要

摘要在多项式的不可约因子足够小的条件下，建立了随机Rademacher乘法函数部分和在函数域上的极限分布的正态逼近。这与Harper在整数上的随机Rademacher乘法函数的工作相似。

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Sums of random multiplicative functions over function fields with few irreducible factors

Abstract We establish a normal approximation for the limiting distribution of partial sums of random Rademacher multiplicative functions over function fields, provided the number of irreducible factors of the polynomials is small enough. This parallels work of Harper for random Rademacher multiplicative functions over the integers.

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来源期刊

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.