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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2022-23-1-6-9</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-1229</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Юбилеи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Anniversaries</subject></subj-group></article-categories><title-group><article-title>Василий Иванович Берник (к 75-летию)</article-title><trans-title-group xml:lang="en"><trans-title>Vasily Ivanovich Bernik (to the 75th anniversary)</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нестеренко</surname><given-names>Юрий Валентинович</given-names></name><name name-style="western" xml:lang="en"><surname>Nesterenko</surname><given-names>Yuri Valentinovich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Быковский</surname><given-names>Виктор Алексеевич</given-names></name><name name-style="western" xml:lang="en"><surname>Bykovsky</surname><given-names>Viktor Alekseevich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бухштабер</surname><given-names>Виктор Матвеевич</given-names></name><name name-style="western" xml:lang="en"><surname>Buchstaber</surname><given-names>Viktor Matveyevich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чирский</surname><given-names>Владимир Григорьевич</given-names></name><name name-style="western" xml:lang="en"><surname>Chirsky</surname><given-names>Vladimir Grigorievich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чубариков</surname><given-names>Владимир Николаевич</given-names></name><name name-style="western" xml:lang="en"><surname>Chubarikov</surname><given-names>Vladimir Nikolaevich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лауринчикас</surname><given-names>Антанас</given-names></name><name name-style="western" xml:lang="en"><surname>Laurincikas</surname><given-names>Antanas</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Добровольский</surname><given-names>Николай Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Dobrovolsky</surname><given-names>Nikolai Mikhailovich</given-names></name></name-alternatives><email xlink:type="simple">dobrovol@tsput.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Добровольский</surname><given-names>Николай Николаевич</given-names></name><name name-style="western" xml:lang="en"><surname>Dobrovolsky</surname><given-names>Nikolai Nikolaevich</given-names></name></name-alternatives><email xlink:type="simple">nikolai.dobrovolsky@gmail.com</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Реброва</surname><given-names>Ирина Юрьевна</given-names></name><name name-style="western" xml:lang="en"><surname>Rebrova</surname><given-names>Irina Yur'evna</given-names></name></name-alternatives><email xlink:type="simple">i_rebrova@mail.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бударина</surname><given-names>Наталья Викторовна</given-names></name><name name-style="western" xml:lang="en"><surname>Budarina</surname><given-names>Natalia Viktorovna</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бересневич</surname><given-names>Виктор</given-names></name><name name-style="western" xml:lang="en"><surname>Berestevich</surname><given-names>Victor</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Владимирович</surname><given-names>Васильев Денис</given-names></name><name name-style="western" xml:lang="en"><surname>Vladimirovich</surname><given-names>Vasilyev Denis</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванович</surname><given-names>Калоша Николай</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanovich</surname><given-names>Kalosha Nikolay</given-names></name></name-alternatives></contrib></contrib-group><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>03</day><month>06</month><year>2022</year></pub-date><volume>23</volume><issue>1</issue><fpage>6</fpage><lpage>9</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нестеренко Ю.В., Быковский В.А., Бухштабер В.М., Чирский В.Г., Чубариков В.Н., Лауринчикас А., Добровольский Н.М., Добровольский Н.Н., Реброва И.Ю., Бударина Н.В., Бересневич В., Владимирович В.Д., Иванович К.Н., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Нестеренко Ю.В., Быковский В.А., Бухштабер В.М., Чирский В.Г., Чубариков В.Н., Лауринчикас А., Добровольский Н.М., Добровольский Н.Н., Реброва И.Ю., Бударина Н.В., Бересневич В., Владимирович В.Д., Иванович К.Н.</copyright-holder><copyright-holder xml:lang="en">Nesterenko Y.V., Bykovsky V.A., Buchstaber V.M., Chirsky V.G., Chubarikov V.N., Laurincikas A., Dobrovolsky N.M., Dobrovolsky N.N., Rebrova I.Y., Budarina N.V., Berestevich V., Vladimirovich V.D., Ivanovich K.N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/1229">https://www.chebsbornik.ru/jour/article/view/1229</self-uri><abstract><p>Данная работа посвящена семидесятипятилетию доктора физико-математических наук, профессора Василия Ивановича Берника. В ней приводятся биографические данные, краткий анализ его научных работ и педагогической и организационной деятельности. В работу включён список из 13 основных научных работ В. И. Берника за последние 5 лет.</p></abstract><trans-abstract xml:lang="en"><p>This paper commemorates the seventy-fifth anniversary of Doctor of Physical and Mathematical Sciences, Professor Vasily Ivanovich Bernik. His curriculum vitae is presented, together with a brief analysis of his work in scientific research, education and management. 13 major scientific papers of V.I. Bernik are referenced.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>теория чисел</kwd><kwd>диофантовы приближения</kwd><kwd>метрическая теория дио- фантовых приближений</kwd><kwd>биография</kwd><kwd>юбилей.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>number theory</kwd><kwd>Diophantine approximation</kwd><kwd>metric theory of Diophantine approximation</kwd><kwd>biography</kwd><kwd>anniversary.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Берник, В. И. Распределение действительных алгебраических чисел произвольной степени в коротких интервалах (исправленный вариант) / В. И. Берник, Ф. Гётце // Изв. РАН. Сер. матем. — 2015 — Т. 79. — С. 21–42.</mixed-citation><mixed-citation xml:lang="en">Bernik, V. I., G¨otze, F. 2015. “Distribution of real algebraic numbers of an arbitrary degree in short intervals” (corrected version), Izv. RAN Ser. matem., Vol. 79, № 1, P. 21—42.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Bernik, V. On points with algebraically conjugate coordinates close to smooth curves / V. Bernik, F. G¨otze, A.В. Gusakova // Записки научных семинаров ПОМИ. — 2016. — C. 14–</mixed-citation><mixed-citation xml:lang="en">Bernik, V., F. G¨otze, F., Gusakova A.В. 2016. “On points with algebraically conjugate coordinates close to smooth curves”, Zapiski nauchnykh seminarov POMI., P. 21–42.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Beresnevich, V. V., Bernik, V. I., G¨otze, F. 2016. “Integral polynomials with small discriminants and resultants”, Adv. Math., Vol. 298, p. 393—412.</mixed-citation><mixed-citation xml:lang="en">Beresnevich, V. V., Bernik, V. I., G¨otze, F. 2016. “Integral polynomials with small discriminants and resultants”, Adv. Math., Vol. 298, p. 393—412.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Beresnevich, V. V. Integral polynomials with small discriminants and resultants / V. V. Beresnevich, V. I. Bernik, F. G¨otze // Adv. Math. — 2016. — Vol. 298. — P. 393–412.</mixed-citation><mixed-citation xml:lang="en">Bernik V., Budarina N., O’Donnell H. 2018. “Discriminants of polynomials in the Archimedean and non-Archimedean metrics”, Acta Mathematica Hungarica, №154, Vol. 2, p. 265–278.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Bernik, V. Discriminants of polynomials in the Archimedean and non-Archimedean metrics / V. Bernik, N. Budarina, H. O’Donnell // Acta Mathematica Hungarica. — 2018. — Т.154. —</mixed-citation><mixed-citation xml:lang="en">Bernik, V., Budarina, N., G¨otze, F. 2017. “ Exact upper bounds for the number of the polynomials with given discriminants”, Lithuanian Mathematical Journal, № 57, P. 283—293.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">№2. — С. 265–278.</mixed-citation><mixed-citation xml:lang="en">Bernik, V., Budarina, N., O’Donnell, H. 2019. “New estimates for the number of integer polynomials with given discriminants”, Lithuanian Mathematical Journal, №60, P. 265–278.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Bernik, V. Exact upper bounds for the number of the polynomials with given discriminants / V. Bernik, N. Budarina, F. G¨otze // Lithuanian Mathematical Journal. — 2017. — № 57. —</mixed-citation><mixed-citation xml:lang="en">Bernik, V., G¨otze, F., Kalosha, N. 2019. “ Counting algebraic numbers in short intervals with rational points”, State University. Mathematics and Informatics., №1, P. 4–11.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">P. 283–293.</mixed-citation><mixed-citation xml:lang="en">Bernik, V. I., Budarina, N.V., Dickinson D. 2020. “Lower bounds for the number of vectors with algebraic coordinates near smooth surfaces”, Doklady of the National Academy of Sciences of Belarus, Vol. 64, № 1, P. 7–12.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Bernik, V. New estimates for the number of integer polynomials with given discriminants / V. Bernik, N. Budarina, H. O’Donnell // Lithuanian Mathematical Journal. — 2019. — № 60. — P. 179–200.</mixed-citation><mixed-citation xml:lang="en">Bernik, V., Mc Guire, S. 2020. “How small can polynomials be in an interval of given length? ”, Glasgow Mathematical Journal., Vol. 62, № 2, P. 261–280.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Берник, В. И. О количестве алгебраических чисел в коротких интервалах, содержащих рациональные точки/ В. И. Берник, Ф. Гётце, Н.И. Калоша // Журнал Белорусского</mixed-citation><mixed-citation xml:lang="en">Bernik, V., Vasilyev, D., Zasimovich E. 2021. “Diophantine approximation with the constant right-hand side of inequalities on short intervals”, Doklady of the National Academy of Sciences of Belarus, Vol. 65, № 4, P. 397–403.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">государственного университета. Математика. Информатика. — 2019. — № 1. — С. 4–11.</mixed-citation><mixed-citation xml:lang="en">Bernik, V., Beresnevich, V., G¨otze, F., Zasimovich, E., Kalosha N. 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, P. 34–50.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Берник, В. И. Оценки снизу для количества векторов с алгебраическими координатами вблизи гладких поверхностей / В. И. Берник, Н. В. Бударина, Д. Диккинсон // Доклады Национальной академии наук Беларуси. — 2020. — Т. 64. — №1. — С. 7–12.</mixed-citation><mixed-citation xml:lang="en">Bernik, V., Korlyukova, I., Kudin, I., Titova, A. 2022. “On approximation to real numbers by algebraic numbers”, Сhebyshevskii sbornik, №94, Vol. 1, p. 1–24.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Bernik, V. How small can polynomials be in an interval of given length? / V. Bernik, S. Mc Guire // Glasgow Mathematical Journal. — 2020. — Vol. 62, no. 2. — P. 261–280.</mixed-citation><mixed-citation xml:lang="en">Bernik, V. How small can polynomials be in an interval of given length? / V. Bernik, S. Mc Guire // Glasgow Mathematical Journal. — 2020. — Vol. 62, no. 2. — P. 261–280.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Берник, В. И. Диофантовы приближения с постоянной правой частью неравенств на коротких интервалах / В. И. Берник, Д.В. Васильев, Е.В. Засимович // Доклады Нацио-</mixed-citation><mixed-citation xml:lang="en">Берник, В. И. Диофантовы приближения с постоянной правой частью неравенств на коротких интервалах / В. И. Берник, Д.В. Васильев, Е.В. Засимович // Доклады Нацио-</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">нальной академии наук Беларуси. — 2021. — Т. 65. — №4. — С. 397–403.</mixed-citation><mixed-citation xml:lang="en">нальной академии наук Беларуси. — 2021. — Т. 65. — №4. — С. 397–403.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Берник, В. И. Вклад Йонаса Кубилюса в метрическую теорию диофантовых приближений зависимых переменных / В. И. Берник, В. В. Бересневич, Ф. Гётце, Е.В. Засимович, Н. И. Калоша // Доклады Национальной академии наук Беларуси. — 2021. — №3. — С. 34–50.</mixed-citation><mixed-citation xml:lang="en">Берник, В. И. Вклад Йонаса Кубилюса в метрическую теорию диофантовых приближений зависимых переменных / В. И. Берник, В. В. Бересневич, Ф. Гётце, Е.В. Засимович, Н. И. Калоша // Доклады Национальной академии наук Беларуси. — 2021. — №3. — С. 34–50.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Берник, В. И. Целочисленные многочлены и теорема Минковского о линейных формах / В. И. Берник, И. А. Корлюкова, А. С. Кудин, А. В. Титова // Чебышевский сборник. — 2022.</mixed-citation><mixed-citation xml:lang="en">Берник, В. И. Целочисленные многочлены и теорема Минковского о линейных формах / В. И. Берник, И. А. Корлюкова, А. С. Кудин, А. В. Титова // Чебышевский сборник. — 2022.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
