• N Watt

      Articles written in Proceedings – Mathematical Sciences

    • The number of ideals in a quadratic field

      M N Huxley N Watt

      More Details Abstract Fulltext PDF

      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 forNAk, whereA andB are constants. ForNAkc,C sufficiently large, the factork50/73 may be replaced by (d(k))4/73k46/73.

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