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Arbitrary Precision Error Analysis for computing $\zeta(s)$ with the Cohen-Ol...
1. Let $s$ be a real number. We prove that, if $s\ge1/2$, $s\not=1$ and $s$ can be written with $D_s$ bits in base 2, then in order to compute $\zeta(s)$ in any... -
Paper Withdrawn: A Necessary Condition for a Nontrivial Zero of the RiemannZe...
equation (4.5) is wrong et so is the rest of the paper. -
On some historical aspects of Riemann zeta function, 1
Within the variegated framework of Riemann zeta function and related conjecture (Riemann Hypothesis), we would like to start with a study of some quite disregarded or... -
Nesterenko's linear independence criterion for vectors
22 pages. With respect to the first version, the main result has been generalized; the application to zeta values is now much stronger, and its proof is postponed to another paper. -
Some Banach spaces of Dirichlet series
We study some L^p spaces of Dirichlet series, particularly two families of Bergman spaces A^p and B^p. We recover classical properties of spaces of analytic functions:... -
Precision concerning the complements of the "Riemann hypothesis proof"
It is about the infinite partition of th real interval $(-\infty , 1/2)$ associated with each complex $\zeta(s)$-zero, or more precisely, with the two $\zeta^{\ast...
