Richard Guy writes:
<<
... what is significant is
not the actual density over the first so many values, which
clearly has to tend to zero in all cases, but the
{\bf asymptotic} density, which, if we believe Hardy \&
Littlewood (see {\bf A1}), is always $c\sqrt n/\ln n$, and
the best that can be done \hGidx{asymptotic density}
is to make the value of $c$ as large as possible. ...
>>
Yes, that's exactly what I'm interested in -- the asymptotic
behavior.
Richard:
Is the Hardy-Wright asymptotic density of c sqrt(n) ^ (ln (n))
(please confirm that my parentheses are properly placed!)
specifically for *quadratic* polymonials, or for *all*
polynomials?
Thanks,
Dan