Conjecture on extreme Dirichlet L-values in cosets
Let q>1q>1q>1, let X\mathcal{X}X be the group of Dirichlet characters modulo qqq, and let H≤XH\leq\mathcal{X}H≤X be a subgroup satisfying #H≫qε\#H\gg q^\varepsilon#H≫qε. For any coset representati…