Representing Primes as the Form x²+ny² in Some Imaginary Quadratic Fields

2014/05/28 by Chang Lv, Lv, Chang, Yingpu Deng +1
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Primary 11D09 #Secondary 11R37

paper · pdf · doi:10.48550/arxiv.1405.7109

openalex publication_date 2014/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give criteria of the solvability of the diophantine equation p=x²+ny² over some imaginary quadratic fields where p is a prime element. The criteria becomes quite simple in special cases.

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