Negative values of truncations to L(1,chi)
classification
🧮 math.NT
keywords
minimumnegativeboundscharactersconsiderdirichletgivegiven
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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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