Abstract
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)|⩽Bk 50/73 N 23/73(logN)461/146 forN ≥Ak, whereA andB are constants. ForN ≥Ak c,C sufficiently large, the factork 50/73 may be replaced by (d(k))4/73 k 46/73.
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Dedicated to the memory of Professor K G Ramanathan
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Huxley, M.N., Watt, N. The number of ideals in a quadratic field. Proc Math Sci 104, 157–165 (1994). https://doi.org/10.1007/BF02830879
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DOI: https://doi.org/10.1007/BF02830879