Tomio Kubota (original) (raw)

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Tomio Kubota (久保田 富雄, Kubota Tomio) (6 December 1930 – 30 June 2020) was a Japanese mathematician working in number theory. His contributions include works on p-adic L functions and real-analytic automorphic forms. His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt. He extended the concept of metaplectic group, in a way significant for arithmetic applications. This opened a field for later research on associated Dirichlet series and automorphic forms, and was a major step in the solution of Kummer's conjecture.

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dbo:abstract Tomio Kubota (jap. 久保田 富雄, Kubota Tomio) (* 6. Dezember 1930 in der Präfektur Tokio; † 30. Juni 2020) war ein japanischer Mathematiker, der sich mit Zahlentheorie und automorphen Formen befasste. Kubota war Professor an der Universität Nagoya, an der er auch 1958 in Mathematik promoviert wurde. Er war Gastwissenschaftler an der Universität Chicago und 1963/64 am Institute for Advanced Study. Er ist vor allem für seine Arbeiten mit Heinrich-Wolfgang Leopoldt über die Einführung p-adischer L-Funktionen in den 1960er Jahren bekannt. Er arbeitete auch über die Erweiterung der Interpretation der Shimura-Korrespondenz von halb- und ganzzahligen Modulformen mit metaplektischen Gruppen (ursprünglich von André Weil). Seine Erweiterung metaplektischer Gruppen spielte eine Rolle bei der Widerlegung der Vermutung von Ernst Eduard Kummer über die Phasenverteilung bzw. Werteverteilung spezieller kubischer Gaußsummen (Kummer-Summen, für Primzahlen p=1 mod 3) durch Samuel Patterson und Roger Heath-Brown (1979). (de) Tomio Kubota (久保田 富雄, Kubota Tomio) (6 December 1930 – 30 June 2020) was a Japanese mathematician working in number theory. His contributions include works on p-adic L functions and real-analytic automorphic forms. His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt. He extended the concept of metaplectic group, in a way significant for arithmetic applications. This opened a field for later research on associated Dirichlet series and automorphic forms, and was a major step in the solution of Kummer's conjecture. (en) 久保田 富雄（くぼた とみお、1930年12月6日 - 2020年6月30日）は、日本の数学者。名古屋大学名誉教授。理学博士。1952年名古屋大学理学部卒。整数論を研究している。 業績に、L関数、、の理論、相互法則の幾何学的証明、実解析的保型形式等の独創的な業績がある。 (ja) Tomio Kubota (久保田 富雄 Kubota Tomio?, 1930) é um matemático japonês, especialista em teoria dos números. Seu trabalho sobre , mais tarde reconhecido como um aspecto da teoria de Iwasawa, foi realizado conjuntamente com Heinrich-Wolfgang Leopoldt. (pt)
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rdfs:comment Tomio Kubota (久保田 富雄, Kubota Tomio) (6 December 1930 – 30 June 2020) was a Japanese mathematician working in number theory. His contributions include works on p-adic L functions and real-analytic automorphic forms. His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt. He extended the concept of metaplectic group, in a way significant for arithmetic applications. This opened a field for later research on associated Dirichlet series and automorphic forms, and was a major step in the solution of Kummer's conjecture. (en) 久保田 富雄（くぼた とみお、1930年12月6日 - 2020年6月30日）は、日本の数学者。名古屋大学名誉教授。理学博士。1952年名古屋大学理学部卒。整数論を研究している。 業績に、L関数、、の理論、相互法則の幾何学的証明、実解析的保型形式等の独創的な業績がある。 (ja) Tomio Kubota (久保田 富雄 Kubota Tomio?, 1930) é um matemático japonês, especialista em teoria dos números. Seu trabalho sobre , mais tarde reconhecido como um aspecto da teoria de Iwasawa, foi realizado conjuntamente com Heinrich-Wolfgang Leopoldt. (pt) Tomio Kubota (jap. 久保田 富雄, Kubota Tomio) (* 6. Dezember 1930 in der Präfektur Tokio; † 30. Juni 2020) war ein japanischer Mathematiker, der sich mit Zahlentheorie und automorphen Formen befasste. Kubota war Professor an der Universität Nagoya, an der er auch 1958 in Mathematik promoviert wurde. Er war Gastwissenschaftler an der Universität Chicago und 1963/64 am Institute for Advanced Study. (de)
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