A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime
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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.
| Original language | English |
|---|---|
| Article number | 125601 |
| Journal | Expositiones Mathematicae |
| ISSN | 0723-0869 |
| DOIs | |
| Publication status | E-pub ahead of print - 2024 |
Bibliographical note
Publisher Copyright:
© 2024 The Author(s)
- Bernstein function, Complete Bernstein function, Pick function, Stieltjes function
Research areas
ID: 402884009