Geodesic
Contribution of Jonas Kubilius to the metric theory of diophantine approximation of dependent variables
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2021), pp. 34-50

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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.
Keywords: J. Kubilius; Diophantine approximation; Mahler’s conjecture; metric number theory; transcendence and algebraic numbers. 
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V. V. Beresnevich; V. I. Bernik; F. Götze; E. V. Zasimovich; N. I. Kalosha. Contribution of Jonas Kubilius to the metric theory of diophantine approximation of dependent variables. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2021), pp. 34-50. http://geodesic.mathdoc.fr/item/BGUMI_2021_3_a2/