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...

zeta function Ihara zeta function of a graph L-function, a "twisted" zeta function Lefschetz zeta function of a morphism Lerch zeta function, a generalization...

Unsolved problem in mathematics Do all non-trivial zeroes of the Riemann zeta function have a real part of one half? More unsolved problems in mathematics...

{\displaystyle -\mathbb {N} } . The Ihara zeta function is considered a p-adic (and a graph-theoretic) analogue of the Selberg zeta function. For the case where the...

The Ihara zeta function of a graph can be interpreted as an example of the Artin–Mazur zeta function. Lefschetz number Lefschetz zeta-function Artin...

the Artin–Mazur zeta function. The Ihara zeta function is an example of a Ruelle zeta function. List of zeta functions Terras (2010) p. 28 Terras (2010)...

Ihara's lemma and the Ihara zeta function. Ihara received his PhD at the University of Tokyo in 1967 with thesis Hecke polynomials as congruence zeta...

with integer flow amounts modulo the argument. The (inverse of the) Ihara zeta function, defined as a product of binomial terms corresponding to certain...

Japanese mathematician Ihara District, Shizuoka, a former district of Shizuoka Prefecture, Japan Ihara zeta function Ihara's lemma This page lists people...

geometry. For his work, see also Isospectral, Reinhardt domain, Ihara zeta function, Ramanujan graph, quantum ergodicity, quantum walk. T. Sunada, Holomorphic...

Japanese mathematician working in number theory who introduced Shintani zeta functions and Shintani's unit theorem. Shintani died by suicide at the age of...

Toshikazu Sunada, a regular graph is Ramanujan if and only if its Ihara zeta function satisfies an analog of the Riemann hypothesis. The complete graph...

fields in geometry, including spectral geometry, Reinhardt domain, Ihara zeta function, and periodic graph)[citation needed] Sada Orihara - alumni, the...

Shimura, Kuga, Sato, and Ihara. On the basis of their results, Robert Langlands made a prediction that the Hasse-Weil zeta function of any algebraic variety...

Riemann zeta function and the Dirichlet L-function satisfy the Euler product, and due to their completely multiplicative property Are there L-functions other...

(1999). "A combinatorial proof of Bass's evaluations of the Ihara-Selberg zeta functions for graphs". Trans. Amer. Math. Soc. 351 (6): 2257–2274. arXiv:math/9806037...

include number theory, zeta theory, and mathematical analysis. He is mostly recognized for the Matsumoto zeta function, a zeta function named after him. He...

Bibcode:1997PNAS...94.2350D. doi:10.1073/pnas.94.6.2350. PMC 20091. PMID 9122198. Ihara K, Ishii E, Eguchi M, Takada H, Suminoe A, Good RA, et al. (March 1999)...

International Congress of Mathematicians on his method to study Dedekind zeta functions using integration over ideles and duality of adeles; this method was...

"Entrez Gene: SSTR3 somatostatin receptor 3". Yamada Y, Reisine T, Law SF, Ihara Y, Kubota A, Kagimoto S, Seino M, Seino Y, Bell GI, Seino S (December 1992)...

1210/jcem.80.9.7673428. PMID 7673428. Kagimoto S, Yamada Y, Kubota A, Someya Y, Ihara Y, Yasuda K, et al. (July 1994). "Human somatostatin receptor, SSTR2, is...

Fontaine and Luc Illusie), comparison conjectures, special values of zeta functions including applications to the Birch-Swinnerton-Dyer conjecture, the...

PMID 8244401. Yamada Y, Kagimoto S, Kubota A, Yasuda K, Masuda K, Someya Y, Ihara Y, Li Q, Imura H, Seino S (September 1993). "Cloning, functional expression...

Cytoskeleton. 2015 (7): 99–109. doi:10.2147/CHC.S60508. hdl:10342/8118. Ihara Y, Kihara Y, Hamano F, Yanagida K, Morishita Y, Kunita A, Yamori T, Fukayama...

Gene. 200 (1–2): 149–156. doi:10.1016/S0378-1119(97)00411-3. PMID 9373149. Ihara H, Hirukawa K, Goto S, Togari A (January 2005). "ATP-stimulated interleukin-6...