(2003) The distribution of prime ideals of imaginary quadratic fields . Transactions of the American Mathematical Society, 356 (2). pp. 599-620. ISSN 0002-9947
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Abstract. Let Q(x; y) be a primitive positive definite quadratic form with integer coecients. Then, for all (s; t) 2 R2 there exist (m; n) 2 Z2 such that Q(m; n) is prime and Q(m- s; n - t) Q(s; t)0:53 + 1: This is deduced from another result giving an estimate for the number of prime ideals in an ideal class of an imaginary quadratic number eld that fall in a given sector and whose norm lies in a short interval.
This is a Published version This version's date is: 22/09/2003 This item is peer reviewed
https://repository.royalholloway.ac.uk/items/72b46ee2-6dd6-5519-c21a-c5cdf3528657/1/
Deposited by () on 20-Jan-2011 in Royal Holloway Research Online.Last modified on 20-Jan-2011
(C) 2003 American Mathematical Society, whose permission to mount this version for private study and research is acknowledged.