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Large values of $L(σ,χ)$ over sets of characters with small product set
We obtain (conditional and unconditional) results on large values of $L$-functions $L(s,χ)$ in the critical strip $1/2 \leq \Re s \leq 1$ when the character $χ$ runs through the ratio set ${\mathcal A}/{\mathcal A}$ of a thin set ${\mathcal A}$ of characters with small product set modulo a prime $q$
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