Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields
Number Theory
2015-01-12 v2
Abstract
We give criteria of the solvability of the diophantine equation over some imaginary quadratic fields where is a prime element. The criteria becomes quite simple in special cases.
Keywords
Cite
@article{arxiv.1405.7109,
title = {Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields},
author = {Chang Lv and Yingpu Deng},
journal= {arXiv preprint arXiv:1405.7109},
year = {2015}
}
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8 pages, This paper has been withdrawn by the author since it was merged into the article arXiv:1405.5776 on August 8, 2014