arXiv:1309.6389 [math.NT]AbstractReferencesReviewsResources
On a bound of Heath-Brown for Dirichlet $L$-functions on the critical line
Published 2013-09-25Version 1
Let $\chi$ a primitive character$\pmod q$ and consider the Dirichlet $L$-function $$L(s,\chi)=\sum_{n=1}^{\infty}\frac{\chi(n)}{n^s}.$$ We give a new proof of an upper bound of Heath-Brown for $|L(s,\chi)|$ on the critical line $s=1/2+it$
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