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Improve zeta for large positive Re(s) #1959

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fredrik-johansson opened this issue May 8, 2024 · 0 comments
Open

Improve zeta for large positive Re(s) #1959

fredrik-johansson opened this issue May 8, 2024 · 0 comments

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@fredrik-johansson
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fredrik-johansson commented May 8, 2024

The Riemann zeta function and Hurwitz zeta function are very poorly implemented for large Re(s). When this exceeds a fraction of the precision, one should use the Dirichlet series or the Euler product directly. Currently this is only done for machine-size integer s, but it should clearly be done generally. To begin with, zeta could call acb_dirichlet_l_euler_product in appropriate cases.

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