Contribution of Jonas Kubilius to the metric theory of Diophantine approximation of dependent variables

  • Victor V. Beresnevich James College, University of York, Campus West, YO10 5DD, York, United Kingdom
  • Vasily I. Bernik Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surhanava Street, Minsk 220072, Belarus
  • Friedrich Götze Bielefeld University, 25 Universitätsstraße, Bielefeld D-33615, Germany
  • Elena V. Zasimovich Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surhanava Street, Minsk 220072, Belarus
  • Nikolai I. Kalosha Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surhanava Street, Minsk 220072, Belarus https://orcid.org/0000-0001-5266-9900
DOI: https://doi.org/10.33581/2520-6508-2021-3-34-50

Abstract

The article is devoted to the latest results in metric theory of Diophantine approximation. One of the first major result in area of number theory was a theorem by academician Jonas Kubilius. This paper is dedicated to centenary of his birth. Over the last 70 years, the area of Diophantine approximation yielded a number of significant results by great mathematicians, including Fields prize winners Alan Baker and Grigori Margulis. In 1964 academician of the Academy of Sciences of BSSR Vladimir Sprindžuk, who was a pupil of academician J. Kubilius, solved the well-known Mahler’s conjecture on the measure of the set of S-numbers under Mahler’s classification, thus becoming the founder of the Belarusian academic school of number theory in 1962.

Author Biographies

Victor V. Beresnevich, James College, University of York, Campus West, YO10 5DD, York, United Kingdom

doctor of science (physics and mathematics), full professor; professor

Vasily I. Bernik, Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surhanava Street, Minsk 220072, Belarus

doctor of science (physics and mathematics), full professor; chief researcher at the department of number theory

Friedrich Götze, Bielefeld University, 25 Universitätsstraße, Bielefeld D-33615, Germany

doctor of science (physics and mathematics), full professor; professor

Elena V. Zasimovich, Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surhanava Street, Minsk 220072, Belarus

postgraduate student at the department of number theory

Nikolai I. Kalosha, Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surhanava Street, Minsk 220072, Belarus

PhD (physics and mathematics); senior researcher at the department of number theory

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Published
2021-12-15
Keywords: J. Kubilius, Diophantine approximation, Mahler’s conjecture, metric number theory, transcendence and algebraic numbers
How to Cite
Beresnevich, V. V., Bernik, V. I., Götze, F., Zasimovich, E. V., & Kalosha, N. I. (2021). Contribution of Jonas Kubilius to the metric theory of Diophantine approximation of dependent variables. Journal of the Belarusian State University. Mathematics and Informatics, 3, 34-50. https://doi.org/10.33581/2520-6508-2021-3-34-50
Issue
No 3 (2021): Journal of the Belarusian State University. Mathematics and Informatics
Section
Mathematical Logic, Algebra and Number Theory

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