Negative values of truncations to $L(1,χ)$

Details Negative values of truncations to $L(1,χ)$ Negative values of truncations to $L(1,χ)$

2005-08-18

arxiv.org/abs/math/0508361v1

Mathematics

Number Theory

8 pages

Scientific paper

For a given $x$ we consider the minimum of $\sum_{n\le x} \chi(n)/n$ as
$\chi$ ranges over all quadratic Dirichlet characters. For all large $x$, this
minimum is negative and we give upper and lower bounds for it.

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