New bounds on large values of L(σ, χ) for thin subgroups of characters mod q, plus unconditional gaps between primitive roots.
Koukoulopoulos, ‘Pretentious multiplicative functions and the prime number theo- rem for arithmetic progressions’,Compositio Math.,149(2013), 1129–1149
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Large values of $L(\sigma,\chi)$ for subgroups of characters
New bounds on large values of L(σ, χ) for thin subgroups of characters mod q, plus unconditional gaps between primitive roots.