CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS

DOI10.4134/BKMS.2015.52.3.717zbMath1329.11113MaRDI QIDQ5265547

Ilwoo Cho

Publication date: 28 July 2015

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=412653

zbMATH Keywords

linear functionalsarithmetic functionsarithmetic algebraarithmetic probability spacesfree-moment \(L\)-functions

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05)

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On dynamical systems induced by p-adic number fields ⋮ A Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes ⋮ Free \(W^*\)-dynamical systems from \(p\)-adic number fields and the Euler totient function ⋮ Matrices induced by arithmetic functions acting on certain Krein spaces ⋮ Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs ⋮ Factorization of \(\mathbb C\)-valued functions induced by graphs ⋮ Free probability on \(W^{*}\)-dynamical systems determined by \(GL_{2}(\mathbb {Q} _{p})\): generalized Hecke algebras ⋮ Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras ⋮ An application of free probability to arithmetic functions ⋮ Free probability on Hecke algebras ⋮ \(\mathbb C\)-valued functions induced by graphs ⋮ Representations and corresponding operators induced by Hecke algebras

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