Papers › A geometrical summation method for the Riemann zêta function

A geometrical summation method for the Riemann zêta function

23 Mar 2019arXiv:1903.10853links table onlyarchive 2025-07-28

Ulysse Reglade

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In this paper, we introduce a geometrical summation method that makes the original Riemann series converge over the critical strip. This method gives an analytical function, that coincides with z\^eta. This point of view allows us to introduce a quantity of interest that seems to give a characterization of the non-trivial zeros of the Riemann z\^eta function.

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