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