In many papers when studying Riemann zeta function (like Alternate Hypothesis, or pair correlation conjecture) I faced with terms like "gaussian unitary ensemble" or "random matrix theory". I would like to learn about this subject but any book I find has 500+ pages and unfortunately I have a limi...

A positive integer $N$ is called perfect if the sum of its divisors (including $1$ and $N$) is $2N$. A famous open problem is whether there is an odd perfect number. Can someone confirm the following result of the german Wikipedia article about possible odd perfect numbers ? Sollte sie kleiner ...