Canonical Diophantine representations of natural numbers with respect to quadratic ``bases

DOI10.1016/j.jnt.2012.09.004zbMath1285.11014OpenAlexW2004102048MaRDI QIDQ1938577

Edward B. Burger, David C. Clyde, Cory H. Colbert, Zhaoning Wang, Gea Hyun Shin

Publication date: 21 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.004

zbMATH Keywords

Diophantine approximationcontinued fractionsOstrowski's decomposition

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Continued fractions (11A55) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

The Fibonacci Sequence and Schreier-Zeckendorf Sets

Cites Work

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• On real quadratic number fields and simultaneous Diophantine approximation
• A generalization of a theorem of Lekkerkerker to Ostrowski's decomposition of natural numbers

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