| 21. | In the 1960s he introduced the eponymous Ihara zeta function.
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| 22. | The figure contains the first 10 5 non-trivial zeros of the Riemann zeta function.
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| 23. | The zeta function is defined in terms of the closed geodesics of the surface.
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| 24. | Hurwitz zeta function corresponding to q = 1 / 3.
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| 25. | The use of arithmetic functions and zeta functions is extensive.
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| 26. | The mathematically robust definition uses the concept of a zeta function for a graph.
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| 27. | The most popular of which for computing functional determinants is the zeta function regularization.
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| 28. | The implementation of this strategy is called zeta function regularization.
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| 29. | This representation can be written more compactly in terms of the Hurwitz zeta function as
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| 30. | This series is easily derived from the corresponding Taylor series for the Hurwitz zeta function.
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