What is a reference book to understand the relation between the Riemann zeta function and random matrices?
$\begingroup$
$\endgroup$
2

$\begingroup$ Random Matrices  Madan Lal Mehta  Academic Press, Elsevier $\endgroup$– A.NevesDec 8, 2023 at 13:21

1$\begingroup$ If you are an undergraduate, you might look at An Invitation to Modern Number Theory by Miller and TaklooBighash $\endgroup$– StoppleDec 8, 2023 at 16:19
Add a comment

1 Answer
$\begingroup$
$\endgroup$
0
There is a substantial literature; for an introduction, you could start with the chapter by Keating and Snaith in the Handbook of Random Matrix Theory. For a more specialized overview, take a look at Recent Perspectives in Random Matrix Theory and Number Theory.
For a selection of research articles on this topic, see the list given by Matthew Watkins (scroll to the bottom of the page).