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An Upper Bound on the Least Inert Prime in a Real Quadratic Field

Open Access article
 Printed: Apr 2000
  • Andrew Granville
  • R. A. Mollin
  • H. C. Williams
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It is shown by a combination of analytic and computational techniques that for any positive fundamental discriminant $D > 3705$, there is always at least one prime $p < \sqrt{D}/2$ such that the Kronecker symbol $\left(D/p\right) = -1$.
MSC Classifications: 11R11, 11Y40 show english descriptions Quadratic extensions
Algebraic number theory computations
11R11 - Quadratic extensions
11Y40 - Algebraic number theory computations

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