Open AccessContribution of Jonas Kubilius to the metric theory of Diophantine approximation of dependent variables
Author(s) -
Victor Beresnevich,
В. И. Берник,
Friedrich Götze,
E. V. Zasimovich,
Николай Иванович Калоша
Publication year - 2021
Publication title -
žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika/žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika
Language(s) - English
Resource type - Journals
eISSN - 2617-3956
pISSN - 2520-6508
DOI - 10.33581/2520-6508-2021-3-34-50
Subject(s) - diophantine approximation , diophantine equation , mathematics , conjecture , number theory , metric (unit) , diophantine set , mathematical economics , algebra over a field , discrete mathematics , pure mathematics , operations management , economics
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.