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Cohen Henri on Thu, 23 Oct 2025 11:38:46 +0200
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Re: Question on finding a Riemann Zeta function zero for high values of s
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- To: "Bill Allombert" <Bill.Allombert@math.u-bordeaux.fr>
- Subject: Re: Question on finding a Riemann Zeta function zero for high values of s
- From: "Cohen Henri" <Henri.Cohen@math.u-bordeaux.fr>
- Date: Thu, 23 Oct 2025 11:38:43 +0200
- Cc: pari-users@pari.math.u-bordeaux.fr
- Delivery-date: Thu, 23 Oct 2025 11:38:46 +0200
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- In-reply-to: <aPnoFJ8WiRaSXEB3@seventeen>
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Second attempt at a patch, the first was wrong. Replace the computation of p1 by
p1 = gsub(gmul(pmd, mulcxI(gsqr(zn))), gmul(s, glog(zn, prec)));
p1 = gmul(gexp(p1, prec), gmul(aleps, gadd(x, ix)));
This at least gives the right result for the zero at height 10^11, and does not crash at 10^21.
Best,
Henri