\(\mathbb C\)-valued functions induced by graphs

DOI10.1007/S11785-014-0368-0zbMath1314.05228OpenAlexW1978846914MaRDI QIDQ2350325

Ilwoo Cho

Publication date: 19 June 2015

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-014-0368-0

zbMATH Keywords

directed graphsgraph groupoidsgraph zeta-functionsRedei zeta functions

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Complex multiplication and moduli of abelian varieties (11G15) Adèle rings and groups (11R56) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) Other analytic theory (11R47) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (3)

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 ⋮ Krein-space operators determined by free product algebras induced by primes and graphs

Cites Work

• Unnamed Item
• Operators induced by prime numbers
• Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
• On the Rédei zeta function
• Operators induced by graphs
• Histories distorted by partial isometries
• Moment computations for graphs with fractal property
• CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS
• p-adic Banach space operators and adelic Banach space operators

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