Primes of the form $x^2+dy^2$ with $x\equiv 0\pmod{N}$ or $y\equiv 0\pmod{N}$

Sushma Palimar; Ambedkar Dukkipati

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arXiv · 1502.05895

Primes of the form $x^2+dy^2$ with $x\equiv 0\pmod{N}$ or $y\equiv 0\pmod{N}$

Sushma Palimar·Ambedkar Dukkipati

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Abstract

In this paper we charatcterize primes of the form $x^2+dy^2$ with $x\equiv 0\pmod{N}$ or $y\equiv 0\pmod{N}$ for positive integer $N$ and $d$ with $d$ being square free.

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Sushma Palimar, Ambedkar Dukkipati. 2015-02-20. Primes of the form $x^2+dy^2$ with $x\equiv 0\pmod{N}$ or $y\equiv 0\pmod{N}$. https://arxiv.org/abs/1502.05895

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