Riemann Zeros and Random Matrix Theory

作者：Snaith N C^*

来源：Milan Journal of Mathematics, 2010, 78(1): 135-152.

DOI：10.1007/s00032-010-0114-7

• Random matrix theory
• Riemann zeta function

In the past dozen years random matrix theory has become a useful tool for conjecturing answers to old and important questions in number theory. It was through the Riemann zeta function that the connection with random matrix theory was first made in the 1970s, and although there has also been much recent work concerning other varieties of L-functions, this article will concentrate on the zeta function as the simplest example illustrating the role of random matrix theory.

• 出版日期2010-8