 |
|
An Upper Bound on the Least Inert Prime in a Real Quadratic Field |
Canad. J. Math. 52(2000), 369-380
Published:2000-04-01
Printed: Apr 2000
Printed: Apr 2000
- Andrew Granville
- R. A. Mollin
- H. C. Williams
Abstract
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 - Quadratic extensions 11Y40 - Algebraic number theory computations |