## “School of Mathematics”

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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.