williamstein / rh Goto Github PK

It ends "To get a feel for this error term, we shall smooth it out a bit, and look at a few
of its graphs."

And there aren't any graphs.

Sage Trac ticket for this: http://trac.sagemath.org/sage_trac/ticket/12744

Change the endnote "If you would like to replicate
the computations, visit \url{http://sagenb.org} or install Sage
and the purplesage Python package, which is available here
\url{http://code.google.com/p/purplesage/}. The code for the book
is all in \verb|psage/rh/mazur_stein|."

Instead, refer to a specific version of Sage.

http://modular.math.washington.edu/pics/ascent4_pics/April01/07April01/dscf2879.jpg

"Since people have already computed at least 1,029.9 billion θ’s (as of Feb. 18,
2005)"

Similar to http://en.wikipedia.org/wiki/File:Gauss-primes-768x768.png

Intentional?

"These are not completely idle thoughts, for a tantalizing analogy relates the
number theory we have been discussing to an already established branch of
mathematics–due, largely, to the work of Alexander Grothendieck, and Pierre
Deligne–where the corresponding analogue of Riemann’s hypothesis has indeed
been proved. . ."

-- need odlyzko database; figures seem too close.
I should just include all the zeros needed in code.sage, to not depend on odlyzko!

Also, "frequencies" becomes "contributions to the spectrum".