IPM
30
YEARS OLD

## “School of Mathematics”

Paper   IPM / M / 8303
School of Mathematics
Title: Irrationality of the sums of zeta values
Author(s):
 1 . T. Hessami Pilehrood 2 . Kh. Hessami Pilehrood
Status: Published
Journal: Math. Notes
Vol.: 79
Year: 2006
Pages: 607-618
Supported by: IPM
Abstract:
In this paper, we establish a lower bound for the dimension of the vector spaces spanned over \mathbbQ by 1 and the sums of the values of the Riemann zeta function at even and odd points. As a consequence, we obtain numerical results on the irrationality and linear independence of the sums of zeta values at even and odd points from a given interval of the positive integers.