Posted in
Speaker:
Jan Buethe
Zugehörigkeit:
U Bonn
Datum:
Mit, 13/05/2015 - 14:15 - 15:15
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar
We briefly describe how partial knowledge of the Riemann Hypothesis
can be obtained numerically, and present some applications
of such results. This includes a graded version of the well-known
conditional Schoenfeld bound for the prime counting function pi(x),
which only assumes the correctness of the RH up to a certain height.
As an algorithmic application we provide an efficient method for
calculating limited range approximations to pi(x) and related functions.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |