“School of Mathematics”
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| Paper IPM / M / 8303 |
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| Abstract: | |||||
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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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