{"product_id":"representation-of-arithmetic-functions-and-free-probability-von-ilwoo-cho-palle-jorgensen","title":"Representation of Arithmetic Functions and Free Probability","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659385698\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659385698","offer_id":39434284728413,"sku":"9783659385698","price":49.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a087c620-0afc-4396-9ab3-065483e10685.jpg?v=1773294726","url":"https:\/\/shop.autorenwelt.de\/products\/representation-of-arithmetic-functions-and-free-probability-von-ilwoo-cho-palle-jorgensen","provider":"Autorenwelt Shop","version":"1.0","type":"link"}