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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">10.22405/2226-8383-2021-22-5-5-15</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-1156</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>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Владимир Николаевич Чубариков (к 70-летию со дня рождения)</article-title><trans-title-group xml:lang="en"><trans-title>Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)</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>Шафаревич</surname><given-names>Андрей Игоревич</given-names></name><name name-style="western" xml:lang="en"><surname>Shafarevich</surname><given-names>Andrey Igorevich</given-names></name></name-alternatives><email xlink:type="simple">shafarev@gmail.com</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фоменко</surname><given-names>Анатолий Тимофеевич</given-names></name><name name-style="western" xml:lang="en"><surname>Fomenko</surname><given-names>Anatoly Timofeevich</given-names></name></name-alternatives><email xlink:type="simple">atfomenko@mail.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванов</surname><given-names>Александр Олегович</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanov</surname><given-names>Alexander Olegovich</given-names></name></name-alternatives><email xlink:type="simple">aoiva@mail.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Демидов</surname><given-names>Сергей Сергеевич</given-names></name><name name-style="western" xml:lang="en"><surname>Demidov</surname><given-names>Sergey Sergeevich</given-names></name></name-alternatives><email xlink:type="simple">serd42@mail.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гашков</surname><given-names>Сергей Борисович</given-names></name><name name-style="western" xml:lang="en"><surname>Gashkov</surname><given-names>Sergey Borisovich</given-names></name></name-alternatives><email xlink:type="simple">sbgashkov@gmail.com</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нижников</surname><given-names>Александр Иванович</given-names></name><name name-style="western" xml:lang="en"><surname>Nizhnikov</surname><given-names>Alexander Ivanovich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фомин</surname><given-names>Александр Аркадьевич</given-names></name><name name-style="western" xml:lang="en"><surname>Fomin</surname><given-names>Alexander Alexandrovich</given-names></name></name-alternatives><email xlink:type="simple">alexander.fomin@mail.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Деза</surname><given-names>Елена Ивановна</given-names></name><name name-style="western" xml:lang="en"><surname>Deza</surname><given-names>Elena Ivanovna</given-names></name></name-alternatives><email xlink:type="simple">Elena.Deza@gmail.com</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Канель-Белов</surname><given-names>Алексей Яковлевич</given-names></name><name name-style="western" xml:lang="en"><surname>Kanel-Belov</surname><given-names>Alexsey Yakovlevich</given-names></name></name-alternatives><email xlink:type="simple">kanelster@gmail.com</email></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>Dobrovol'skii</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>Dobrovol'skii</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-group><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>17</day><month>01</month><year>2022</year></pub-date><volume>22</volume><issue>5</issue><fpage>5</fpage><lpage>15</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шафаревич А.И., Фоменко А.Т., Иванов А.О., Демидов С.С., Гашков С.Б., Нижников А.И., Фомин А.А., Деза Е.И., Канель-Белов А.Я., Добровольский Н.М., Добровольский Н.Н., Реброва И.Ю., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Шафаревич А.И., Фоменко А.Т., Иванов А.О., Демидов С.С., Гашков С.Б., Нижников А.И., Фомин А.А., Деза Е.И., Канель-Белов А.Я., Добровольский Н.М., Добровольский Н.Н., Реброва И.Ю.</copyright-holder><copyright-holder xml:lang="en">Shafarevich A.I., Fomenko A.T., Ivanov A.O., Demidov S.S., Gashkov S.B., Nizhnikov A.I., Fomin A.A., Deza E.I., Kanel-Belov A.Y., Dobrovol'skii N.M., Dobrovol'skii N.N., Rebrova I.Y.</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/1156">https://www.chebsbornik.ru/jour/article/view/1156</self-uri><abstract><p>-</p></abstract><trans-abstract xml:lang="en"><p>-</p></trans-abstract><kwd-group xml:lang="ru"><kwd>-</kwd></kwd-group><kwd-group xml:lang="en"><kwd>-</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">Архипов Г. И., Карацуба А. А., Чубариков В. Н. Кратные тригонометрические суммы. — Труды Матем. ин-та им. В. А. Стеклова АН СССР. 1980, № 151 с. 3–128.</mixed-citation><mixed-citation xml:lang="en">Arkhipov G. I., Karatsuba A. A., Chubarikov V. N., 1980, Multiple trigonometric sums. — Works of Math. V. A. Steklov Institute of the USSR Academy of Sciences, № 151, pp. 3–128.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Архипов Г. И., Карацуба А. А., Чубариков В. Н. Теория кратных тригонометрических сумм. — М.: Наука. 1987, 368 с.</mixed-citation><mixed-citation xml:lang="en">Arkhipov G. I., Karatsuba A. A., Chubarikov V. N., 1987, Theory of multiple trigonometric sums. — M.: Science, 368 p.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Arkhipov G. I., Chubarikov V. N., Karatsuba A. A. 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Изд. 3-е. — М.: Дрофа. 2004, 320 с.</mixed-citation><mixed-citation xml:lang="en">Gashkov S. B., Chubarikov V. N., 2004, Arithmetic. Algorithms. Complexity of calculations. Ed. 3-E. — M.: Bustard. 320 p.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Чубариков В. Н. Элементы арифметики. — М.: Изд-во Мех-мат. фак. МГУ. 2007, 94 с.</mixed-citation><mixed-citation xml:lang="en">Chubarikov V. N., 2007, Elements of arithmetic. — Moscow: Publishing House of Mekh-mat. fac. MSU., 94 p.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Минеев М. П., Чубариков В. Н. Лекции по арифметическим вопросам криптографии. — М.: Изд-во Мех-мат. фак. МГУ. 2010, 198 с.</mixed-citation><mixed-citation xml:lang="en">Mineev M. P., Chubarikov V. N., 2010, Lectures on arithmetic issues of cryptography. — Moscow: Publishing house of Mekh-mat. fac. MSU., 198 p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Pr¨azisierung der Schranke der Nullstellen Dirichletscher L-Reihen nach einem Modul, der gleich einer Primzahlpotenz ist Chubarikov V.N. в журнале Вестник Московского университета. Серия 1: Математика. Механика, издательство Изд-во Моск. ун-та (М.), том 28, № 2, с. 46-52.</mixed-citation><mixed-citation xml:lang="en">Pr¨azisierung der Schranke der Nullstellen Dirichletscher L-Reihen nach einem Modul, der gleich einer Primzahlpotenz ist Chubarikov V.N. in the journal Bulletin of the Moscow</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">В. Н. Чубариков, М. Л. Шарапова, “Об одной кубатурной формуле для периодических функций”, Вестн. Моск. ун-та. Сер. 1. Матем., мех., 2017, 6, c. 59–62.</mixed-citation><mixed-citation xml:lang="en">University. Series 1: Mathematics. 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L., 2017, “On interpolation of functions of many variables”, Chebyshevsky sat., Vol. 18 № 4, pp. 339–347.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Chubarikov V. N., 2018, “On Quadrature Formulas”, Dokl. RAS, Vol. 481, № 2, pp. 136–137, mathnet zmath elib; V. N. Chubarikov “On Quadrature Formulas”, Dokl. Math., Vol. 98, № 1, pp. 325-–326.</mixed-citation><mixed-citation xml:lang="en">Chubarikov V. N., 2018, “On Quadrature Formulas”, Dokl. RAS, Vol. 481, № 2, pp. 136–137, mathnet zmath elib; V. N. Chubarikov “On Quadrature Formulas”, Dokl. Math., Vol. 98, № 1, pp. 325-–326.</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>
