Journal article
Correction: An Application of Free Probability to Arithmetic Functions
Complex Analysis and Operator Theory, Vol.12(7), pp.1567-1608
10/2018
DOI: 10.1007/s11785-016-0604-x
Abstract
In this paper, we study free probability on tensor product algebra $$\mathfrak {M} = M\,\otimes _{\mathbb {C}}\,{\mathcal {A}}$$ M=M⊗CA of a $$W^{*}$$ W∗ -algebra M and the algebra $${\mathcal {A}}$$ A , consisting of all arithmetic functions equipped with the functional addition and the convolution. We study free-distributional data of certain elements of $$\mathfrak {M}$$ M , and study freeness on $$\mathfrak {M}$$ M , affected by fixed primes.
Details
- Title: Subtitle
- Correction: An Application of Free Probability to Arithmetic Functions
- Creators
- Ilwoo Cho - 0000 0004 1936 8294 grid.214572.7 Department of Mathematics and Statistics University of Iowa 14 McLean Hall Iowa City IA 52242 USAPalle Jorgensen - 0000 0004 1936 8294 grid.214572.7 Department of Mathematics and Statistics University of Iowa 14 McLean Hall Iowa City IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Complex Analysis and Operator Theory, Vol.12(7), pp.1567-1608
- Publisher
- Springer International Publishing; Cham
- DOI
- 10.1007/s11785-016-0604-x
- ISSN
- 1661-8254
- eISSN
- 1661-8262
- Language
- English
- Date published
- 10/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9983985996702771
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