Вклад Йонаса Кубилюса в метрическую теорию диофантовых приближений зависимых переменных

  • Виктор Вячеславович Бересневич Колледж им. Джеймса Рашолма, Йоркский университет, Западный кампус, YO10 5DD, г. Йорк, Великобритания
  • Василий Иванович Берник Институт математики НАН Беларуси, ул. Сурганова, 11, 220072, г. Минск, Беларусь
  • Фридрих Гётце Билефельдский университет, Университетсштрассе, 25, D-33615, г. Билефельд, Германия
  • Елена Васильевна Засимович Институт математики НАН Беларуси, ул. Сурганова, 11, 220072, г. Минск, Беларусь
  • Николай Иванович Калоша Институт математики НАН Беларуси, ул. Сурганова, 11, 220072, г. Минск, Беларусь https://orcid.org/0000-0001-5266-9900
DOI: https://doi.org/10.33581/2520-6508-2021-3-34-50

Аннотация

Посвящается 100-летию со дня рождения академика Йонаса Кубилюса, который является основоположником метрической теории диофантовых приближений. Проводится обзор наиболее важных результатов, полученных в метрической теории диофантовых приближений. Отмечается, что за последние 70 лет в области диофантовых приближений сделано много выдающихся достижений. Упоминаются работы лауреатов Филдсовской премии Алана Бейкера и Григория Маргулиса, а также ученика Й. Кубилюса, академика АН БССР Владимира Спринджука, который в 1964 г. решил известную проблему Малера и стал основателем белорусской школы теории чисел.

Биографии авторов

Виктор Вячеславович Бересневич , Колледж им. Джеймса Рашолма, Йоркский университет, Западный кампус, YO10 5DD, г. Йорк, Великобритания

доктор физико-математических наук, профессор; профессор

Василий Иванович Берник , Институт математики НАН Беларуси, ул. Сурганова, 11, 220072, г. Минск, Беларусь

доктор физико-математических наук, профессор; главный научный сотрудник отдела теории чисел

Фридрих Гётце , Билефельдский университет, Университетсштрассе, 25, D-33615, г. Билефельд, Германия

доктор физико-математических наук, профессор; профессор

Елена Васильевна Засимович , Институт математики НАН Беларуси, ул. Сурганова, 11, 220072, г. Минск, Беларусь

аспирантка отдела теории чисел. Научный руководитель – В. И. Берник

Николай Иванович Калоша, Институт математики НАН Беларуси, ул. Сурганова, 11, 220072, г. Минск, Беларусь

кандидат физико-математических наук; старший научный сотрудник отдела теории чисел

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Опубликован
2021-12-15
Ключевые слова: Й. Кубилюс, диофантовы приближения, проблема Малера, метрическая теория чисел, трансцендентные и алгебраические числа
Как цитировать
Бересневич , В. В., Берник , В. И., Гётце , Ф., Засимович , Е. В., & Калоша, Н. И. (2021). Вклад Йонаса Кубилюса в метрическую теорию диофантовых приближений зависимых переменных. Журнал Белорусского государственного университета. Математика. Информатика, 3, 34-50. https://doi.org/10.33581/2520-6508-2021-3-34-50
Выпуск
№ 3 (2021): Журнал Белорусского государственного университета. Математика. Информатика
Раздел
Математическая логика, алгебра и теория чисел

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