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- Ihara_zeta_function abstract "In mathematics, the Ihara zeta-function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta-function, and is used to relate closed paths to the spectrum of the adjacency matrix. The Ihara zeta-function was first defined by Yasutaka Ihara in the 1960s in the context of discrete subgroups of the two-by-two p-adic special linear group. Jean-Pierre Serre suggested in his book Trees that Ihara's original definition can be reinterpreted graph-theoretically. It was Toshikazu Sunada who put this suggestion into practice (1985). As observed by Sunada, a regular graph is a Ramanujan graph if and only if its Ihara zeta function satisfies an analogue of the Riemann hypothesis.".
- Ihara_zeta_function wikiPageID "1342362".
- Ihara_zeta_function wikiPageLength "4860".
- Ihara_zeta_function wikiPageOutDegree "28".
- Ihara_zeta_function wikiPageRevisionID "631671387".
- Ihara_zeta_function wikiPageWikiLink Adjacency_matrix.
- Ihara_zeta_function wikiPageWikiLink Cambridge_University_Press.
- Ihara_zeta_function wikiPageWikiLink Category:Algebraic_graph_theory.
- Ihara_zeta_function wikiPageWikiLink Category:Zeta_and_L-functions.
- Ihara_zeta_function wikiPageWikiLink Circuit_rank.
- Ihara_zeta_function wikiPageWikiLink Discrete_group.
- Ihara_zeta_function wikiPageWikiLink Dynamical_system.
- Ihara_zeta_function wikiPageWikiLink Dynamical_systems.
- Ihara_zeta_function wikiPageWikiLink Euler_product.
- Ihara_zeta_function wikiPageWikiLink Free_group.
- Ihara_zeta_function wikiPageWikiLink Graph_(mathematics).
- Ihara_zeta_function wikiPageWikiLink Hyman_Bass.
- Ihara_zeta_function wikiPageWikiLink Jean-Pierre_Serre.
- Ihara_zeta_function wikiPageWikiLink List_of_zeta_functions.
- Ihara_zeta_function wikiPageWikiLink Mathematics.
- Ihara_zeta_function wikiPageWikiLink P-adic_number.
- Ihara_zeta_function wikiPageWikiLink Ramanujan_graph.
- Ihara_zeta_function wikiPageWikiLink Regular_graph.
- Ihara_zeta_function wikiPageWikiLink Riemann_hypothesis.
- Ihara_zeta_function wikiPageWikiLink Riemann_zeta_function.
- Ihara_zeta_function wikiPageWikiLink Ruelle_zeta_function.
- Ihara_zeta_function wikiPageWikiLink Selberg_zeta_function.
- Ihara_zeta_function wikiPageWikiLink Special_linear_group.
- Ihara_zeta_function wikiPageWikiLink Spectral_graph_theory.
- Ihara_zeta_function wikiPageWikiLink Spectrum_of_a_matrix.
- Ihara_zeta_function wikiPageWikiLink Symbolic_dynamics.
- Ihara_zeta_function wikiPageWikiLink Toshikazu_Sunada.
- Ihara_zeta_function wikiPageWikiLink Yasutaka_Ihara.
- Ihara_zeta_function wikiPageWikiLink Zeta_function.
- Ihara_zeta_function wikiPageWikiLinkText "Ihara zeta function".
- Ihara_zeta_function wikiPageWikiLinkText "Ihara zeta-function".
- Ihara_zeta_function wikiPageWikiLinkText "zeta functions".
- Ihara_zeta_function wikiPageWikiLinkText "ζ functions on finite simple graphs".
- Ihara_zeta_function hasPhotoCollection Ihara_zeta_function.
- Ihara_zeta_function wikiPageUsesTemplate Template:Cite_book.
- Ihara_zeta_function wikiPageUsesTemplate Template:Cite_journal.
- Ihara_zeta_function wikiPageUsesTemplate Template:Reflist.
- Ihara_zeta_function subject Category:Algebraic_graph_theory.
- Ihara_zeta_function subject Category:Zeta_and_L-functions.
- Ihara_zeta_function hypernym Function.
- Ihara_zeta_function type Article.
- Ihara_zeta_function type ProgrammingLanguage.
- Ihara_zeta_function type Article.
- Ihara_zeta_function type Function.
- Ihara_zeta_function comment "In mathematics, the Ihara zeta-function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta-function, and is used to relate closed paths to the spectrum of the adjacency matrix. The Ihara zeta-function was first defined by Yasutaka Ihara in the 1960s in the context of discrete subgroups of the two-by-two p-adic special linear group. Jean-Pierre Serre suggested in his book Trees that Ihara's original definition can be reinterpreted graph-theoretically.".
- Ihara_zeta_function label "Ihara zeta function".
- Ihara_zeta_function sameAs Función_zeta_de_Ihara.
- Ihara_zeta_function sameAs 伊原のゼータ函数.
- Ihara_zeta_function sameAs m.04v66_.
- Ihara_zeta_function sameAs Q5994637.
- Ihara_zeta_function sameAs Q5994637.
- Ihara_zeta_function wasDerivedFrom Ihara_zeta_function?oldid=631671387.
- Ihara_zeta_function isPrimaryTopicOf Ihara_zeta_function.