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I find that Gamma(e) is close to Pi/2 and Zeta(e) is close to 4/Pi. So I have a question:

$\Gamma (e) = \pi /2$

$\zeta (e) = 4/\pi $

Is it true in fact?

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1 Answer 1

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Maple says $\Gamma(e)=1.567468255$, $\pi/2=1.570796327$, $\zeta(e)=1.269009604$, $4/\pi=1.273239544$.

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  • $\begingroup$ what is the precision of the result Gamma(e)=1.567468255, zeta(e)=1.269009604? $\endgroup$
    – user8140
    Commented Aug 24, 2010 at 6:24
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    $\begingroup$ @a-boy, more than enough to show that your proposed equations do not hold. Maple's numerics are good enough that I would trust all those values to be off by at most 1 in the last given decimal place. I just realized that your screen name makes this comment start "atta boy"! $\endgroup$ Commented Aug 24, 2010 at 6:56

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