Some calculations related to the Riemann
Zeta function for integer values
Paul Eloe
University of Dayton
Abstract:
( ) ∑
(
) is the Riemann Zeta function. If
, an even
integer, ( ) can be calculated, recursively. Methods are not known to
calculate ( ) if
, an odd integer. We show some calculations
for
and then derive a viable method to approximate ( ) using the
values for
( ). Some historical context is given.