THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
1992; World Scientific; Volume: 03; Issue: 06 Linguagem: Inglês
10.1142/s0129167x92000357
ISSN1793-6519
Autores Tópico(s)advanced mathematical theories
ResumoInternational Journal of MathematicsVol. 03, No. 06, pp. 717-797 (1992) No AccessTHE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICEHYMAN BASSHYMAN BASSDepartment of Mathematics, Columbia University, New York, NY 10027, USAhttps://doi.org/10.1142/S0129167X92000357Cited by:218 Next AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Partially supported by NSF Grant DMS 8802181AMSC: 05C05, 05C25, 05C50, 11F72, 15A15, 16A27 FiguresReferencesRelatedDetailsCited By 218Metzler/Zeta CorrespondenceYusuke Ide, Takashi Komatsu, Norio Konno and Iwao Sato1 Aug 2023 | Discrete Mathematics, Vol. 346, No. 8On Sidorenko's conjecture for determinants and Gaussian Markov random fieldsPéter Csikvári and Balázs Szegedy5 September 2022 | Random Structures & Algorithms, Vol. 62, No. 2Walk/Zeta CorrespondenceTakashi Komatsu, Norio Konno and Iwao Sato19 December 2022 | Journal of Statistical Physics, Vol. 190, No. 2A generalized Ihara zeta function formula for simple graphs with bounded degreeTaichi Kousaka1 Jan 2023 | Discrete Mathematics, Vol. 346, No. 1Graph zeta functions and Wilson loops in a Kazakov–Migdal modelSo Matsuura and Kazutoshi Ohta9 November 2022 | Progress of Theoretical and Experimental Physics, Vol. 2022, No. 12The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a GraphTakehiro Hasegawa, Takashi Komatsu, Norio Konno, Hayato Saigo and Seiken Saito et al.15 November 2022 | Annals of Combinatorics, Vol. 305An analogue of the Riemann Hypothesis via quantum walksNorio Konno27 May 2022 | Quantum Studies: Mathematics and Foundations, Vol. 9, No. 4Sparse random hypergraphs: Non-backtracking spectra and community detectionLudovic Stephan and Yizhe Zhu1 Oct 2022A vertex weighted Bartholdi zeta function for a digraphLin Zhu23 July 2022 | Archiv der Mathematik, Vol. 119, No. 3Vertex-Face/Zeta correspondenceTakashi Komatsu, Norio Konno and Iwao Sato26 April 2022 | Journal of Algebraic Combinatorics, Vol. 56, No. 2Selberg trace formula in hyperbolic band theoryAdil Attar and Igor Boettcher8 September 2022 | Physical Review E, Vol. 106, No. 3Kazakov-Migdal model on the graph and Ihara zeta functionSo Matsuura and Kazutoshi Ohta21 September 2022 | Journal of High Energy Physics, Vol. 2022, No. 9A chaotic lattice field theory in one dimension*H Liang and P Cvitanović7 July 2022 | Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 30The trace formula with respect to the Grover matrix of a graphNorio Konno, Hideo Mitsuhashi, Hideaki Morita and Iwao Sato20 June 2020 | Linear and Multilinear Algebra, Vol. 70, No. 10Asymptotic Absence of Poles of Ihara Zeta Function of Large Erdős–Rényi Random GraphsOleksiy Khorunzhiy25 September 2022 | Zurnal matematiceskoj fiziki, analiza, geometrii, Vol. 18, No. 3The Ihara-Zeta Function and the Spectrum of the Join of Two Semi-Regular Bipartite GraphsXiaotong Li, Xian'an Jin and Qi Yan7 April 2022 | Graphs and Combinatorics, Vol. 38, No. 3Explicit Near-Ramanujan Graphs of Every DegreeSidhanth Mohanty, Ryan O'Donnell and Pedro Paredes23 February 2021 | SIAM Journal on Computing, Vol. 51, No. 3On Asymptotic Properties of Bell Polynomials and Concentration of Vertex Degree of Large Random GraphsO. 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Duursma1 Jan 2004Bartholdi zeta functions of digraphsHirobumi Mizuno and Iwao Sato1 Nov 2003 | European Journal of Combinatorics, Vol. 24, No. 8On the weighted complexity of a regular covering of a graphHirobumi Mizuno and Iwao Sato1 Sep 2003 | Journal of Combinatorial Theory, Series B, Vol. 89, No. 1Bartholdi zeta functions of graph coveringsHirobumi Mizuno and Iwao Sato1 Sep 2003 | Journal of Combinatorial Theory, Series B, Vol. 89, No. 1L-functions of regular coverings of graphsHirobumi Mizuno and Iwao Sato1 Apr 2003 | European Journal of Combinatorics, Vol. 24, No. 3The semicircle law for semiregular bipartite graphsHirobumi Mizuno and Iwao Sato1 Feb 2003 | Journal of Combinatorial Theory, Series A, Vol. 101, No. 2Good Expander Graphs and Expander Codes: Parameters and DecodingH. Janwa30 April 2003Weighted zeta functions of digraphsHirobumi Mizuno and Iwao Sato1 Nov 2002 | Linear Algebra and its Applications, Vol. 355, No. 1-3Zeta functions of digraphsHirobumi Mizuno and Iwao Sato1 Oct 2001 | Linear Algebra and its Applications, Vol. 336, No. 1-3A Polya-Hilbert operator for automorphic L-functionsAnton Deitmar1 Jun 2001 | Indagationes Mathematicae, Vol. 12, No. 2Zeta Functions of Discrete Groups Acting on TreesBryan Clair and Shahriar Mokhtari-Sharghi1 Mar 2001 | Journal of Algebra, Vol. 237, No. 2Ramanujan Edge-Indexed GraphsShahriar Mokhtari-Sharghi1 Mar 2001 | Journal of Combinatorial Theory, Series B, Vol. 81, No. 2Zeta Functions of Graph CoveringsHirobumi Mizuno and Iwao Sato1 Nov 2000 | Journal of Combinatorial Theory, Series B, Vol. 80, No. 2Zeta Functions of Finite Graphs and Coverings, Part IIH.M. Stark and A.A. Terras1 Sep 2000 | Advances in Mathematics, Vol. 154, No. 1Combinatorial L2 -determinantsAnton Deitmar20 January 2009 | Proceedings of the Edinburgh Mathematical Society, Vol. 43, No. 1A Combinatorial Proof of Bass's Evaluations of the Ihara-Selberg Zeta Function for GraphsDominique Foata and Doron Zeilberger8 February 1999 | Transactions of the American Mathematical Society, Vol. 351, No. 6Two Proofs of Ihara's TheoremSam Northshield1 Jan 1999Multipath Zeta Functions of GraphsHarold M. Stark1 Jan 1999Спектральная задача на графах и $L$-функцииЛеонид Олегович Чехов and Leonid Olegovich Chekhov1 Jan 1999 | Успехи математических наук, Vol. 54, No. 6Le trou spectral des graphes et leurs propriétés d'expansionYves Colin de Verdière1 January 1994 | Séminaire de théorie spectrale et géométrie, Vol. 12Ihara Zeta Functions for Periodic Simple GraphsDaniele Guido, Tommaso Isola and Michel L. LapidusPanorama of Zeta FunctionsAnton Deitmar Recommended Vol. 03, No. 06 Metrics History Received 6 May 1992 PDF download
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