Elliptic curves of high rank and the Riemann zeta function on the one line

Abstract

We describe some experiments that show a connection between elliptic curves of high rank and the Riemann zeta function on the one line. We also discuss a couple of statistics involving $L$-functions where the zeta function on the one line plays a prominent role.

21 pages, lots of figures, very cool

References in corpus (3)

• On the spacing distribution of the Riemann zeros: corrections to the asymptotic result
• Detecting squarefree numbers
• Elliptic curves of large rank and small conductor