| 1. | Dirichlet series play a variety of important roles in analytic number theory.
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| 2. | The latter series is an example of a Dirichlet series.
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| 3. | Where both Dirichlet series converge, one has the identities:
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| 4. | The " L "-series is a Dirichlet series, commonly written
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| 5. | The multiplication of Dirichlet series is compatible with Dirichlet convolution in the following sense:
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| 6. | His interest was initially in finite Dirichlet series.
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| 7. | Then, using this Dirichlet series with Perron's formula, one obtains:
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| 8. | The above series is a prototypical Dirichlet series that harmonic series which diverges to, and
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| 9. | Like the zeta function, Dirichlet series in general play an important role in analytic number theory.
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| 10. | Many generalizations of the Riemann zeta function, such as Dirichlet series,-functions, are known.
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