Re: [math-fun] a bit of precision fraud

10 Jun 2015


      On Fri, Jun 5, 2015 at 7:46 AM, Bill Gosper <billgosper@gmail.com> wrote:
...
too late for April 1st:
Out[666]= EllipticTheta[2, 0, Catalan] EllipticTheta[3, 0, Catalan] ==
-π/Log[Catalan]
In[667]:= N[%]
Out[667]= True
In[668]:= N[List @@ %%, 69]
Out[668]=
{35.7908268633193865771253088986699000335476024418014552592829359941761,
 35.7908268633193865771253088986699000335476024418014552592829359941761}
In[676]:= $MaxExtraPrecision = 999; N[Subtract @@ %666, 22]
Out[676]= -3.101101704291470266693*10^-96
(Based on the last formula in gosper.org/pathi.pdf)
--rwg
An early draft of a second chapter:  gosper.org/hyper3by3.pdf
--rwg