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arXiv:1405.7109 [math.NT]AbstractReferencesReviewsResources

Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields

Chang Lv, Yingpu Deng

Published 2014-05-28, updated 2015-01-09Version 2

We give criteria of the solvability of the diophantine equation $p=x^2+ny^2$ over some imaginary quadratic fields where $p$ is a prime element. The criteria becomes quite simple in special cases.

Comments: 8 pages, This paper has been withdrawn by the author since it was merged into the article arXiv:1405.5776 on August 8, 2014
Categories: math.NT
Subjects: 11D09, 11R37
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