A geometrical summation method for the Riemann zêta function

2019/03/23 by Reglade, Ulysse
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1903.10853

Abstract

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 zêta. 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 zêta function.

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