Bookcover of Representation of Arithmetic Functions and Free Probability
Booktitle:

Representation of Arithmetic Functions and Free Probability

LAP LAMBERT Academic Publishing (2015-09-14 )

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ISBN-13:

978-3-659-38569-8

ISBN-10:
3659385697
EAN:
9783659385698
Book language:
English
Blurb/Shorttext:
In this monograph, we study a class of representations of arithmetic functions, and corresponding operator-theoretic and free-probabilistic properties. We associate given arithmetic functions to certain matrices, and study free-probabilistic structures on such matrices determined by prime-powers. By understanding such matrices as operators acting on an “indefinite” inner product space, we derive operator-theoretic properties of them. This study is one of the frontier works, providing connections between modern number theory, and operator theory, via free probability with help of representation theory.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
ILWOO CHO, Palle Jorgensen
Number of pages:
92
Published on:
2015-09-14
Stock:
Available
Category:
Mathematics
Price:
49.90 €
Keywords:
Arithmetic Functions, Free Probability Spaces, representations

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