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Paper   IPM / M / 8303
School of Mathematics
  Title:   Irrationality of the sums of zeta values
1.  T. Hessami Pilehrood
2.  Kh. Hessami Pilehrood
  Status:   Published
  Journal: Math. Notes
  Vol.:  79
  Year:  2006
  Pages:   607-618
  Supported by:  IPM
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.

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