Minimal vector systems in three-dimensional lattices and an analogue of Vahlen’s theorem for three-dimensional Minkowski continued fractions-Reference-Cited by-同舟云学术

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Minimal vector systems in three-dimensional lattices and an analogue of Vahlen’s theorem for three-dimensional Minkowski continued fractions

Published:2013-04 Issue:S2 Volume:280 Page:91-116
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Ustinov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1134/S0081543813030097.pdf

Reference27 articles.

1. F. Klein, “Über eine geometrische Auffassung der gewöhnlichen Kettenbruchentwickelung,” Gött. Nachr. 3, 357–359 (1895).

2. F. Klein, “Sur une représentation géométrique du développement en fraction continue ordinaire,” Nouv. Ann. (3) 15, 327–331 (1896).

3. G. Voronoi, A Generalization of the Continuous Fraction Algorithm, Doctoral Thesis (Warsaw, 1896) [in Russian].

4. G. Voronoi, Collection of Works (Kiev, 1952), Vol. 1.

5. H. Minkowski, “Généralisation de la théorie des fractions continues,” Ann. Sci.École Norm. Sup. (3) 13, 41–60 (1896).

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Three-dimensional continued fractions and Kloosterman sums;Russian Mathematical Surveys;2015-06-30

2. On the three-dimensional Vahlen theorem;Mathematical Notes;2014-01

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