Math challenge of the day 2018-09-24
Math challenge of the day 2018-09-24
For complex $x$ define
f(x)=exp(x^2)-exp(x)-1
Is it true that f(5 i pi) = 0?
We have strong numerical evidence with precision
100 decimal digits but some meromorphic doubts too ;)
gp/pari session (warning, gp is very buggy):
parisize = 8000000, primelimit = 500000, nbthreads = 2
? \p 100
realprecision = 115 significant digits (100 digits displayed)
? f(x)=exp(x^2)-exp(x)-1
%1 = (x)->exp(x^2)-exp(x)-1
? f(5*I*Pi)
%2 = 6.952351934431877974 E-108 + 0.E-114*I
Cheers for the day.