GaussianIntegers

GaussianIntegers

is an option for FactorInteger, PrimeQ, Factor, and related functions that specifies whether factorization should be done over Gaussian integers.

Details

Examples

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Basic Examples  (1)

Factor a polynomial over :

Factor an integer over :

Scope  (3)

By default polynomial factorization is performed over the rationals:

This specifies that the factorization should be done over :

By default integer factorization is performed over the integers:

This specifies that the factorization should be done over the Gaussian integers:

A number prime over the integers may not be prime over the Gaussian integers:

Properties & Relations  (1)

For Factor, GaussianIntegers->True is equivalent to Extension->I:

Wolfram Research (1991), GaussianIntegers, Wolfram Language function, https://reference.wolfram.com/language/ref/GaussianIntegers.html.

Text

Wolfram Research (1991), GaussianIntegers, Wolfram Language function, https://reference.wolfram.com/language/ref/GaussianIntegers.html.

BibTeX

@misc{reference.wolfram_2021_gaussianintegers, author="Wolfram Research", title="{GaussianIntegers}", year="1991", howpublished="\url{https://reference.wolfram.com/language/ref/GaussianIntegers.html}", note=[Accessed: 26-September-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_gaussianintegers, organization={Wolfram Research}, title={GaussianIntegers}, year={1991}, url={https://reference.wolfram.com/language/ref/GaussianIntegers.html}, note=[Accessed: 26-September-2021 ]}

CMS

Wolfram Language. 1991. "GaussianIntegers." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GaussianIntegers.html.

APA

Wolfram Language. (1991). GaussianIntegers. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GaussianIntegers.html