From: DylanTheMathematician on
Could anyone suggest a book that I could read to learn about the
Riemann zeta function? I have done a lot of rigorous undergraduate
coursework in mathematics (including real, complex, and functional
analysis), and I want to eventually understand applications of number
theory and the Riemann zeta function to mathematical physics.
From: Axel Vogt on
DylanTheMathematician wrote:
> Could anyone suggest a book that I could read to learn about the
> Riemann zeta function? I have done a lot of rigorous undergraduate
> coursework in mathematics (including real, complex, and functional
> analysis), and I want to eventually understand applications of number
> theory and the Riemann zeta function to mathematical physics.

Google using ' "zeta function" physics ' gives a lot and gives
you a start for free (and may be you ask your teachers as well),

http://en.wikipedia.org/wiki/Riemann_zeta_function#Applications
is one and a bit below you find the variant called 'Lerch Phi'
which gives you another search term (but being not from Physics).
From: Axel Vogt on
Axel Vogt wrote:
> DylanTheMathematician wrote:
>> Could anyone suggest a book that I could read to learn about the
>> Riemann zeta function? I have done a lot of rigorous undergraduate
>> coursework in mathematics (including real, complex, and functional
>> analysis), and I want to eventually understand applications of number
>> theory and the Riemann zeta function to mathematical physics.
>
> Google using ' "zeta function" physics ' gives a lot and gives
> you a start for free (and may be you ask your teachers as well),
>
> http://en.wikipedia.org/wiki/Riemann_zeta_function#Applications
> is one and a bit below you find the variant called 'Lerch Phi'
> which gives you another search term (but being not from Physics).

or http://www.esi.ac.at/activities/archive/zetaconf98.html, to
be a start for names and themes
From: J. Clarke on
On 4/3/2010 3:54 PM, DylanTheMathematician wrote:
> Could anyone suggest a book that I could read to learn about the
> Riemann zeta function? I have done a lot of rigorous undergraduate
> coursework in mathematics (including real, complex, and functional
> analysis), and I want to eventually understand applications of number
> theory and the Riemann zeta function to mathematical physics.

If you use the Amazon advanced search to find books with "Riemann Zeta"
in the title you'll get a number of hits, several with customer reviews.