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Feb 7, 2018 at 21:08 comment added Igor Rivin @Lucia Yes, I am thinking of fixed $a.$ How much precision would be needed for the zeros? And without congruence conditions, is the explicit formula faster (theoretically or practically)than Meissel-Lehmer?
Feb 7, 2018 at 21:05 comment added Lucia Are you thinking of $a$ fixed, and $M$ large? Computing via the explicit formula and finding zeros of $L$-functions, would seem a good way to me -- would have complexity about $a M^{1/2+\epsilon}$.
Feb 7, 2018 at 20:52 history asked Igor Rivin CC BY-SA 3.0