Geodesic
Continued fractions on the Heisenberg group
Anton Lukyanenko 1   ; Joseph Vandehey 2
1 Department of Mathematics University of Michigan 530 Church Street Ann Arbor, MI 48109, U.S.A.
2 Department of Mathematics University of Georgia at Athens Athens, GA 30602, U.S.A.
Acta Arithmetica, Tome 167 (2015) no. 1, pp. 19-42 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa167-1-2
Keywords: provide generalization continued fractions heisenberg group prove explicit estimate rate convergence infinite continued fraction several surprising analogs classical formulas about continued fractions

Anton Lukyanenko  1   ; Joseph Vandehey  2

1 Department of Mathematics University of Michigan 530 Church Street Ann Arbor, MI 48109, U.S.A.
2 Department of Mathematics University of Georgia at Athens Athens, GA 30602, U.S.A. 
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Anton Lukyanenko; Joseph Vandehey. Continued fractions on the Heisenberg group. Acta Arithmetica, Tome 167 (2015) no. 1, pp. 19-42. doi: 10.4064/aa167-1-2

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