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math.NT2007
Fast methods to compute the Riemann zeta function
Ghaith Ayesh Hiary
The Riemann zeta function on the critical line can be computed using a straightforward application of the Riemann-Siegel formula, Schönhage's method, or Heath-Brown's method. The c…
math.NT2007
A nearly-optimal method to compute the truncated theta function, its derivatives, and integrals
Ghaith Ayesh Hiary
A poly-log time method to compute the truncated theta function, its derivatives, and integrals is presented. The method is elementary, rigorous, explicit, and suited for computer i…