Ihara zeta function
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 walks 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 in 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.
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Ihara zeta function
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 walks 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 in 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.
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En matemàtiques, la funció zet ...... leg de la hipòtesi de Riemann.
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En mathématiques, la fonction ...... gue de l'hypothèse de Riemann.
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In mathematics, the Ihara zeta ...... gue of the Riemann hypothesis.
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La función zeta de Ihara tiene ...... a su característica de Euler.
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数論では、伊原のゼータ函数(Ihara zeta-funct ...... ータ函数がラマヌジャン予想の類似を満たすこととは同値である。
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En matemàtiques, la funció zet ...... leg de la hipòtesi de Riemann.
@ca
En mathématiques, la fonction ...... gue de l'hypothèse de Riemann.
@fr
In mathematics, the Ihara zeta ...... gue of the Riemann hypothesis.
@en
La función zeta de Ihara tiene ...... a su característica de Euler.
@es
数論では、伊原のゼータ函数(Ihara zeta-funct ...... ータ函数がラマヌジャン予想の類似を満たすこととは同値である。
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Fonction zêta d'Ihara
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Funció zeta d'Ihara
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Función zeta de Ihara
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Ihara zeta function
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伊原のゼータ函数
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