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Cohen Henri on Wed, 22 Oct 2025 23:51:41 +0200
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Re: Question on finding a Riemann Zeta function zero for high values of s
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- To: "American Citizen" <website.reader3@gmail.com>
- 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: Wed, 22 Oct 2025 23:51:39 +0200
- Cc: pari-users@pari.math.u-bordeaux.fr
- Delivery-date: Wed, 22 Oct 2025 23:51:41 +0200
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Sorry, should have replied to list. In integrand_h0, replace line 309
p1=gmul(expIxy(pmd,gsqr(zn),prec), by
p1 = gmul(pmd, mulcxI(gsqr(zn))); p1r = greal(p1);
if (gcmpgs(mpabs(p1r), 2*prec2nbits(prec)) > 0) p1 = p1r;
p1 = gmul(gexp(p1, prec),
and declare p1r as a GEN. This is not good, but works here. It is to avoid an
overflow in gsincos when taking the exponential of A+I*B where B is huge and
A is huge negative or positive. The condition I wrote is ridiculous, but I don't know what
to put else.
Henri