A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 125601 |
| Tidsskrift | Expositiones Mathematicae |
| ISSN | 0723-0869 |
| DOI | |
| Status | E-pub ahead of print - 2024 |
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