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Extreme Value Theory for Hurwitz Complex Continued Fractions

The Hurwitz complex continued fraction is a generalization of the nearest integer continued fraction. In this paper, we prove various results concerning extremes of the modulus of Hurwitz complex continued fraction digits. This includes a Poisson law and an extreme value law. The results are based o...

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Detalles Bibliográficos
Autor principal: Kirsebom, Maxim Sølund
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8303893/
https://www.ncbi.nlm.nih.gov/pubmed/34209005
http://dx.doi.org/10.3390/e23070840