As a complement to a recent paper by Jade Vinson
we study the distribution of the sequence
$(\sum_{j=1}^n j^{-s})_{n\ge1}$ modulo 1 with the aim of explaining its
different behaviour when $s=\frac12$ and when $\frac12
@article{1057864656,
author = {Baxa, Christoph},
title = {Some Remarks on the Distribution of a Sequence Connected with $\zeta(\frac12)$},
journal = {Experiment. Math.},
volume = {11},
number = {3},
year = {2002},
pages = { 465-468},
language = {en},
url = {http://dml.mathdoc.fr/item/1057864656}
}
Baxa, Christoph. Some Remarks on the Distribution of a Sequence Connected with $\zeta(\frac12)$. Experiment. Math., Tome 11 (2002) no. 3, pp. 465-468. http://gdmltest.u-ga.fr/item/1057864656/