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math.NT2016
A fast amortized algorithm for computing quadratic Dirichlet -functions
Ghaith A. Hiary
An algorithm to compute Dirichlet -functions for many quadratic characters is derived. The algorithm is optimal (up to logarithmic factors) provided that the conductors of the c…
math.NT2016
New computations of the Riemann zeta function on the critical line
Jonathan W. Bober, Ghaith A. Hiary
We present highlights of computations of the Riemann zeta function around large values and high zeros. The main new ingredient in these computations is an implementation of the sec…