与帕斯卡金字塔模数素数分形维度相关的完整伯恩斯坦函数

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2024-08-02 DOI:10.1016/j.exmath.2024.125601

Christian Berg

引用次数: 0

摘要

设为 .我们证明，，是一个完整的伯恩斯坦函数，并且，是一个斯蒂尔杰斯函数。这回答了戴维-布拉德利（David Bradley）的一个猜想，即当 . 是伯恩斯坦函数时， .

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A complete Bernstein function related to the fractal dimension of Pascal’s pyramid modulo a prime

Let for . We prove that is a complete Bernstein function for and a Stieltjes function for . This answers a conjecture of David Bradley that is a Bernstein function when .

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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