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arxiv: 0807.0019 · v2 · submitted 2008-06-30 · 🧮 math.NT

Zeros of partial sums of the Riemann zeta-function

classification 🧮 math.NT
keywords zerosdistributionnumberpartialriemannsumszeta-functionaspects
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We investigate the distribution of the zeros of partial sums of the Riemann zeta-function, sum_{n\leq X}n^{-s}, estimating the number of zeros up to height T, the number of zeros to the right of a given vertical line, and other aspects of their horizontal distribution.

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