Database of the zeros of the Riemann zeta function¶
The main access function to the database of the zeros of the Riemann zeta
function is zeta_zeros(). In order to use zeta_zeros(), you need to
install the optional database_odlyzko_zeta
package:
sage -i database_odlyzko_zeta
AUTHORS:
- William Stein: initial version 
- Jeroen Demeyer (2015-01-20): converted - database_odlyzko_zetato new-style package
- sage.databases.odlyzko.zeta_zeros()[source]¶
- List of the imaginary parts of the first 2,001,052 zeros of the Riemann zeta function, accurate to within 4e-9. - REFERENCES: - EXAMPLES: - The following example shows the imaginary part of the 13th nontrivial zero of the Riemann zeta function: - sage: # optional - database_odlyzko_zeta sage: zz = zeta_zeros() sage: zz[12] 59.347044003 sage: len(zz) 2001052 - >>> from sage.all import * >>> # optional - database_odlyzko_zeta >>> zz = zeta_zeros() >>> zz[Integer(12)] 59.347044003 >>> len(zz) 2001052