Representation of Arithmetic Functions and Free Probability

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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...

Format:Paperback

Language:English

ISBN:3659385697

ISBN13:9783659385698

Release Date:September 2015

Publisher:LAP Lambert Academic Publishing

Length:92 Pages

Weight:0.32 lbs.

Dimensions:0.2" x 6.0" x 9.0"

Related Subjects

Math Mathematics Science & Math

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Representation of Arithmetic Functions and Free Probability

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