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

V. V. Beresnevich ; V. I. Bernik ; F. Götze ; E. V. Zasimovich ; N. I. Kalosha

Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2021), pp. 34-50.

Résumé

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.

Détail

Keywords: J. Kubilius; Diophantine approximation; Mahler’s conjecture; metric number theory; transcendence and algebraic numbers.

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