论文信息 - High precision computation of Riemann's zeta function by the Riemann-Siegel formula, I

High precision computation of Riemann's zeta function by the Riemann-Siegel formula, I

We present rigorous and sharp bounds for the terms and remainder in the Riemann-Siegel formula (for a general argument, not necessarily on the critical line). This allows for the computation of ((s) and Z(t) to high precision. We also derive the Riemann-Siegel formula in a new and more direct way.

Juan Arias de Reyna

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