Continued fractions on the Heisenberg group
Anton Lukyanenko ; Joseph Vandehey
Acta Arithmetica, Tome 168 (2015), p. 19-42 / Harvested from The Polish Digital Mathematics Library
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We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:279141 
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     author = {Anton Lukyanenko and Joseph Vandehey},
     title = {Continued fractions on the Heisenberg group},
     journal = {Acta Arithmetica},
     volume = {168},
     year = {2015},
     pages = {19-42},
     zbl = {1327.11047},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-1-2}
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Anton Lukyanenko; Joseph Vandehey. Continued fractions on the Heisenberg group. Acta Arithmetica, Tome 168 (2015) pp. 19-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-1-2/