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

DOI10.1007/S11785-015-0470-YzbMath1353.05125OpenAlexW2213162300MaRDI QIDQ504570

Ilwoo Cho

Publication date: 17 January 2017

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

Full work available at URL: https://doi.org/10.1007/s11785-015-0470-y

zbMATH Keywords

directed graphsgraph groupoidsfactorizability on graphsgraph zeta-functionsnon-factorizable graphsRedei 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) Directed graphs (digraphs), tournaments (05C20) Other analytic theory (11R47) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

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• Operators induced by prime numbers
• Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
• Free probability on Hecke algebras
• On the Rédei zeta function
• Operators induced by graphs
• Moment computations for graphs with fractal property
• CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS
• GRAPH ZETA FUNCTION AND DIMENSION OF COMPLEX NETWORK
• A matrix-weighted zeta function of a graph
• p-adic Banach space operators and adelic Banach space operators

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