Journal article
An Application of Free Probability to Arithmetic Functions
Complex analysis and operator theory, Vol.9(7), pp.1457-1489
10/01/2015
DOI: 10.1007/s11785-014-0378-y
Abstract
In this paper, we study free probability on tensor product algebra of an arbitrary (pure-algebraic, or topological, or topological -)algebra and the algebra consisting of all arithmetic functions equipped with the functional addition and the convolution. We study free-distributional data of certain elements of and study inner freeness on in particular, determined by primes.
Details
- Title: Subtitle
- An Application of Free Probability to Arithmetic Functions
- Creators
- Ilwoo Cho - Saint Ambrose UniversityPalle E. T Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Complex analysis and operator theory, Vol.9(7), pp.1457-1489
- Publisher
- SPRINGER BASEL AG
- DOI
- 10.1007/s11785-014-0378-y
- ISSN
- 1661-8254
- eISSN
- 1661-8262
- Number of pages
- 33
- Language
- English
- Date published
- 10/01/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984241158302771
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