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

24 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

Access to Document

10.1016/j.jnt.2009.07.013

Cite this

@article{96fe695b53e746e490e3d87334659927,

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

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",

year = "2010",

month = apr,

doi = "10.1016/j.jnt.2009.07.013",

language = "English",

volume = "130",

pages = "852--861",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "4",

}

TY - JOUR

T1 - Primes of the form x2 + n y2 with conditions x ≡ 1 mod N, y ≡ 0 mod N

AU - Cho, Bumkyu

PY - 2010/4

Y1 - 2010/4

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/76749108893

U2 - 10.1016/j.jnt.2009.07.013

DO - 10.1016/j.jnt.2009.07.013

M3 - Article

AN - SCOPUS:76749108893

SN - 0022-314X

VL - 130

SP - 852

EP - 861

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 4

ER -

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

Abstract

Access to Document

Other files and links

Cite this

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