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A Discrete Limit Theorem for the Matsumoto Zeta‐Function in the Space of Analytic Functions

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Abstract

In the paper, a discrete distribution of the Matsumoto zeta‐function is considered. It is proved that the probability measure \(P_N (A) = {\mu}_N (\phi (s + ikh) \in A),{\text{ }}A \in \mathcal{B}(H(D))\), converges weakly as \(N \to \infty \).

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References

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Kačinskaitė, R. A Discrete Limit Theorem for the Matsumoto Zeta‐Function in the Space of Analytic Functions. Lithuanian Mathematical Journal 41, 344–350 (2001). https://doi.org/10.1023/A:1013808504200

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  • DOI: https://doi.org/10.1023/A:1013808504200

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