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5 changed files with 6 additions and 7 deletions
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@ -193,7 +193,7 @@ the evaluation.
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.. function:: void acb_dirichlet_zeta_jet_rs(acb_t res, const acb_t s, slong len, slong prec)
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Computes the first *len* terms of the Taylor series of the Riemann zeta
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function at *s* using the Riemann siegel formula. This function currently
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function at *s* using the Riemann Siegel formula. This function currently
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only supports *len* = 1 or *len* = 2. A finite difference is used
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to compute the first derivative.
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@ -247,7 +247,7 @@ Hurwitz zeta function precomputation
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Clears the precomputed data.
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.. function:: void acb_dirichler_hurwitz_precomp_choose_param(ulong * A, ulong * K, ulong * N, const acb_t s, double num_eval, slong prec)
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.. function:: void acb_dirichlet_hurwitz_precomp_choose_param(ulong * A, ulong * K, ulong * N, const acb_t s, double num_eval, slong prec)
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Chooses precomputation parameters *A*, *K* and *N* to minimize
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the cost of *num_eval* evaluations of the Hurwitz zeta function
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@ -799,7 +799,7 @@ and formulas described by David J. Platt in [Pla2017]_.
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The number of obtained consecutive zeros is returned. The first two
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function variants each make a single call to Platt's grid evaluation
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of the scaled Lambda function, whereas the third variant performs as many
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evluations as necessary to obtain *len* consecutive zeros.
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evaluations as necessary to obtain *len* consecutive zeros.
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The final several parameters of the underscored local variant have the same
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meanings as in the functions :func:`acb_dirichlet_platt_multieval`
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and :func:`acb_dirichlet_platt_ws_interpolation`. The non-underscored
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@ -677,7 +677,7 @@ Elementary functions
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of the power as computed without truncation (i.e. no zero-padding is performed).
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Does not support aliasing of the input and output, and requires
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that *flen* and *len* are positive.
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Uses binary expontiation.
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Uses binary exponentiation.
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.. function:: void acb_poly_pow_ui_trunc_binexp(acb_poly_t res, const acb_poly_t poly, ulong exp, slong len, slong prec)
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@ -748,7 +748,7 @@ Powers and elementary functions
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of the power as computed without truncation (i.e. no zero-padding is performed).
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Does not support aliasing of the input and output, and requires
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that *flen* and *len* are positive.
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Uses binary expontiation.
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Uses binary exponentiation.
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.. function:: void arb_poly_pow_ui_trunc_binexp(arb_poly_t res, const arb_poly_t poly, ulong exp, slong len, slong prec)
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@ -254,7 +254,7 @@ Special functions
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that of :func:`nilpotency_degree`.
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This function can help quantify entrywise errors in a truncated evaluation
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of a matrix power series. If *A* is an indictor matrix with the same
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of a matrix power series. If *A* is an indicator matrix with the same
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sparsity pattern as a matrix `M` over the real or complex numbers,
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and if `B_{ij}` does not take the special value `-2`, then the tail
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`\left[ \sum_{k=N}^\infty a_k M^k \right]_{ij}`
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@ -194,5 +194,4 @@ Computer algebra systems and wrappers
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* ArbNumerics (Julia): https://github.com/JeffreySarnoff/ArbNumerics.jl
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* ArbFloats (Julia): https://github.com/JuliaArbTypes/ArbFloats.jl
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* A Java wrapper using JNA: https://github.com/crowlogic/arb/
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