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On the Distribution of the Greatest Comm...

Bradley, Tai-Danae...

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On the Distribution of the Greatest Common Divisor of Gaussian Integers by Bradley, Tai-Danae ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	07-02-2015
Summary	For a pair of random Gaussian integers chosen uniformly and independently from the set of Gaussian integers of norm x or less as x goes to infinity, we find asymptotics for the average norm of their greatest common divisor, with explicit error terms. We also present results for higher moments along with computational data which support the results for the second, third, fourth, and fifth moments. The analogous question for integers is studied by Diaconis and Erdös.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1502.02148

Citation

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AMA 11th EditionReferences

Bradley, Tai-Danae. On the Distribution of the Greatest Common Divisor of Gaussian Integers. N.A. February 07, 2015. Accessed October 02, 2025. https://online.provdatabase.com/cite/18337

APA 7th EditionReferences

Bradley, Tai-Danae. (2015). On the Distribution of the Greatest Common Divisor of Gaussian Integers. N.A. https://online.provdatabase.com/cite/18337

Chicago 17th EditionReferences

Bradley, Tai-Danae. On the Distribution of the Greatest Common Divisor of Gaussian Integers. N.A. 2015. https://online.provdatabase.com/cite/18337

HarvardReferences

Bradley, Tai-Danae. (2015). On the Distribution of the Greatest Common Divisor of Gaussian Integers. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18337. (Accessed 02 October 2025).

Harvard AustraliaReferences

Bradley, Tai-Danae, 2015, On the Distribution of the Greatest Common Divisor of Gaussian Integers, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/18337>

MLA 9th EditionWorks Cited

Bradley, Tai-Danae. On the Distribution of the Greatest Common Divisor of Gaussian Integers. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18337.

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