| 1. | Here denotes the Riemann zeta function and ? the imaginary unit.
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| 2. | The Riemann hypothesis implies results about the distribution of prime numbers.
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| 3. | He proved that Euler product formula for the Riemann zeta function.
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| 4. | In Riemann's work there are many more interesting developments.
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| 5. | Two conformally equivalent Riemann surfaces are for all practical purposes identical.
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| 6. | Bernhard Riemann made some famous contributions to modern analytic number theory.
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| 7. | Fuchsian groups are used to create Fuchsian models of Riemann surfaces.
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| 8. | This is simply the Riemann curvature tensor in a different form.
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| 9. | One way of depicting holomorphic functions is with a Riemann surface.
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| 10. | A hyperbolic non-Euclidean space is also a Riemann space.
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