Primes of the form x2 + n y2 with conditions x ≡ 1 mod N, y ≡ 0 mod N

Bumkyu Cho

doi:10.1016/j.jnt.2009.07.013

Primes of the form x² + n y² with conditions x ≡ 1 mod N, y ≡ 0 mod N

Bumkyu Cho

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

As is well known, Cox considered the primes of the form x² + n y². In this paper we impose the conditions on x and y such as x ≡ 1 mod N, y ≡ 0 mod N.

Original language	English
Pages (from-to)	852-861
Number of pages	10
Journal	Journal of Number Theory
Volume	130
Issue number	4
DOIs	https://doi.org/10.1016/j.jnt.2009.07.013
State	Published - Apr 2010

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10.1016/j.jnt.2009.07.013

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abstract = "As is well known, Cox considered the primes of the form x2 + n y2. In this paper we impose the conditions on x and y such as x ≡ 1 mod N, y ≡ 0 mod N.",

author = "Bumkyu Cho",

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Primes of the form x2 + n y2 with conditions x ≡ 1 mod N, y ≡ 0 mod N

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Primes of the form x² + n y² with conditions x ≡ 1 mod N, y ≡ 0 mod N