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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime. / Berg, Christian.

In: Expositiones Mathematicae, 2024.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Berg, C 2024, 'A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime', Expositiones Mathematicae. https://doi.org/10.1016/j.exmath.2024.125601

APA

Berg, C. (2024). A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime. Expositiones Mathematicae, [125601]. https://doi.org/10.1016/j.exmath.2024.125601

Vancouver

Berg C. A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime. Expositiones Mathematicae. 2024. 125601. https://doi.org/10.1016/j.exmath.2024.125601

Author

Berg, Christian. / A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime. In: Expositiones Mathematicae. 2024.

Bibtex

@article{b55580e21354426f9c2612511b48376e,
title = "A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime",
abstract = "Let fr(x)=log(1+rx)/log(1+x) for x>0. We prove that fr is a complete Bernstein function for 0≤r≤1 and a Stieltjes function for 1≤r. This answers a conjecture of David Bradley that fr is a Bernstein function when 0≤r≤1.",
keywords = "Bernstein function, Complete Bernstein function, Pick function, Stieltjes function",
author = "Christian Berg",
note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",
year = "2024",
doi = "10.1016/j.exmath.2024.125601",
language = "English",
journal = "Expositiones Mathematicae",
issn = "0723-0869",
publisher = "Elsevier GmbH - Urban und Fischer",

}

RIS

TY - JOUR

T1 - A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime

AU - Berg, Christian

N1 - Publisher Copyright: © 2024 The Author(s)

PY - 2024

Y1 - 2024

N2 - Let fr(x)=log(1+rx)/log(1+x) for x>0. We prove that fr is a complete Bernstein function for 0≤r≤1 and a Stieltjes function for 1≤r. This answers a conjecture of David Bradley that fr is a Bernstein function when 0≤r≤1.

AB - Let fr(x)=log(1+rx)/log(1+x) for x>0. We prove that fr is a complete Bernstein function for 0≤r≤1 and a Stieltjes function for 1≤r. This answers a conjecture of David Bradley that fr is a Bernstein function when 0≤r≤1.

KW - Bernstein function

KW - Complete Bernstein function

KW - Pick function

KW - Stieltjes function

UR - http://www.scopus.com/inward/record.url?scp=85200946212&partnerID=8YFLogxK

U2 - 10.1016/j.exmath.2024.125601

DO - 10.1016/j.exmath.2024.125601

M3 - Journal article

AN - SCOPUS:85200946212

JO - Expositiones Mathematicae

JF - Expositiones Mathematicae

SN - 0723-0869

M1 - 125601

ER -

ID: 402884009