大素数因子残馀类中的Benford行为与分布

IF 0.5 4区数学 Q3 MATHEMATICS Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques Pub Date : 2022-10-10 DOI:10.4153/S0008439522000601

P. Pollack, Akash Singha Roy

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引用次数: 2

摘要

研究了n的第k大素数因子(对于每个固定的$k=1,2,3，\dots $)的前导数分布以及n的所有素数因子的和。在每种情况下，我们发现前导数都是按照Benford定律分布的。此外，在等差数列中，本福德行为与等分布同时出现，且均匀地趋近于小模。

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Benford behavior and distribution in residue classes of large prime factors

Abstract We investigate the leading digit distribution of the kth largest prime factor of n (for each fixed $k=1,2,3,\dots $ ) as well as the sum of all prime factors of n. In each case, we find that the leading digits are distributed according to Benford’s law. Moreover, Benford behavior emerges simultaneously with equidistribution in arithmetic progressions uniformly to small moduli.

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来源期刊

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 months

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