LetK be a quadratic Geld, and letR(N) be the number of integer ideals inK with norm at most AT. Letx with conductork be the quadratic character associated withK. Then |R(N)−NL(1,x)|⩽Bk50/73N23/73(logN)461/146 forN ≥Ak, whereA andB are constants. ForN ≥Akc,C sufficiently large, the factork50/73 may be replaced by (d(k))4/73k46/73.
Volume 131, 2021
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