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On the Exponent of the Ideal Class Group of $\mathbf{Q}(\sqrt{-d})$

Francesco Pappalardi
Proceedings of the American Mathematical Society
Vol. 123, No. 3 (Mar., 1995), pp. 663-671
DOI: 10.2307/2160784
Stable URL: http://www.jstor.org/stable/2160784
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Exponent of the Ideal Class Group of $\mathbf{Q}(\sqrt{-d})$
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Abstract

Let m(d) be the exponent of the ideal class group of $\mathbf{Q}(\sqrt{-d})$, we establish the bound m(d) ≫ log d/log log d for almost all the discriminants d by using uniform asymptotic formulas on the number of n ≤ x for which there exists a prime less than s for which n is a quadratic residue.

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