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On one algorithm for searching the best joint diophantine approximations

https://doi.org/10.22405/2226-8383-2021-22-5-346-349

Abstract

The article discusses the issue of improving one algorithm for finding the best joint Diophantine approximations and estimating its complexity.

About the Authors

Yurij Aleksandrovich Basalov
Tula State Lev Tolstoy Pedagogical University
Russian Federation





Anastasia Nikolaevna Basalova
Tula State Lev Tolstoy Pedagogical University
Russian Federation


References

1. Basalov Yu. A., Pacukova A. N. 2012, “On some questions in Diophanite approximations“, Chebyshevskii sbornik, Vol. 13, Issue 3, pp. 4–27.

2. Bruno A. D. 2015, “Universal generalization of the continued fraction algorithm“, Chebyshevskii sbornik, Vol. 16, Issue 2, pp. 35–65.

3. Schmidt W. M. 1983, Diophantine Approximation, Mir.


Review

For citations:


Basalov Yu.A., Basalova A.N. On one algorithm for searching the best joint diophantine approximations. Chebyshevskii Sbornik. 2021;22(5):346-349. (In Russ.) https://doi.org/10.22405/2226-8383-2021-22-5-346-349

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ISSN 2226-8383 (Print)