A survey compiling generalizations of the Montgomery-Hooley variance formula V(x,Q) for ψ(x;q,a) over q ≤ Q.
Hooley, On the Barban-Davenport-Halberstam theorem: XII, Number Theory in Progress (Zakopane, 1997) volume II, de Gruyter 1999,893–910
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The generalized Montgomery-Hooley formula: A survey
A survey compiling generalizations of the Montgomery-Hooley variance formula V(x,Q) for ψ(x;q,a) over q ≤ Q.