Granville and Soundararajan, in "Upper Bounds for $L(1, \chi)$", first paragraph, say it is known that there exist quadratic Dirichlet characters $\chi$ for which $L(1, \chi)$ is about $\log\log q$, where $q$ is the conductor of $\chi$. Those authors gave no reference, and I can't find one so far. Can anyone point me to a reference?
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2$\begingroup$ You will find the answer in the answers to this MO question. Also, please use a high-level tag like "nt.number-theory". I added this tag now. Finally, please use TeX on this site. $\endgroup$– GH from MOCommented Feb 14, 2022 at 22:40
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