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ON THE DISTRIBUTION OF THE GREATEST COMMON DIVISOR OF GAUSSIAN INTEGERS

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...

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Detalhes bibliográficos
Publicado no:Involve
Main Authors: BRADLEY, TAI-DANAE, CHENG, YIN CHOI, LUO, YAN FEI
Formato: Artigo
Idioma:Inglês
Publicado em: 2015
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC5066819/
https://ncbi.nlm.nih.gov/pubmed/27761199
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.2140/involve.2016.9.27
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