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lim sup Large values of L$L(1,chi\chi)$ for quadratic fieldsDirichlet characters $\chi$

Granville and Soundararajan, in "Upper Bounds for L(1, chi)$L(1, \chi)$", first paragraph, say it is known that there exist quadratic Dirichlet characters $\chi$ for which L(1, chi)$L(1, \chi)$ is about log log q$\log\log q$, where q$q$ is the conductor of chi$\chi$. Those authors gave no reference, and I can't find one so far. Can anyone point me to a reference?

lim sup of L(1,chi) for quadratic fields

Granville and Soundararajan, in "Upper Bounds for L(1, chi)", first paragraph, say it is known that there exist characters 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?

Large values of $L(1,\chi)$ for quadratic Dirichlet characters $\chi$

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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lim sup of L(1,chi) for quadratic fields

Granville and Soundararajan, in "Upper Bounds for L(1, chi)", first paragraph, say it is known that there exist characters 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?