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

Chang Lv; Yingpu Deng

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arXiv · 1405.7109

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

Chang Lv·Yingpu Deng

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Abstract

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.

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BibTeX RIS

Chang Lv, Yingpu Deng. 2015-01-09. Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields. https://arxiv.org/abs/1405.7109

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