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
APA
Vancouver
Author
Bibtex
}
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