Tables of zeros of the Riemann-Zeta function

AUTHORS:

  • William Stein: initial version
  • Jeroen Demeyer (2015-01-20): convert database_odlyzko_zeta to new-style package
sage.databases.odlyzko.zeta_zeros()

List of the imaginary parts of the first 2,001,052 zeros of the Riemann zeta function, accurate to within 4e-9.

In order to use zeta_zeros(), you will need to install the optional Odlyzko database package:

sage -i database_odlyzko_zeta

You can see a list of all available optional packages with sage --optional.

REFERENCES:

EXAMPLES:

The following example prints the imaginary part of the 13th nontrivial zero of the Riemann zeta function:

sage: zz = zeta_zeros()  # optional - database_odlyzko_zeta
sage: zz[12]             # optional - database_odlyzko_zeta
59.347044003
sage: len(zz)            # optional - database_odlyzko_zeta
2001052