Shikao Ikehara

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Shikao Ikehara ( Japanese 池 原 止 戈夫 , Ikehara Shikao ; born April 11, 1904 in Osaka Prefecture ; † October 10, 1984 ) was a Japanese mathematician .

Life

Ikehara received his bachelor's degree from the Massachusetts Institute of Technology , where he was in 1930 in Vienna Norbert PhD ( An extension of Landau's Theorem in the Analytic Theory of Numbers ). He was a professor at Osaka University and later at the Tokyo Institute of Technology .

He is known for Wiener-Ikehara's theorem, which he proved in his dissertation (using Wiener's Tauber theory). An improved version was published by Wiener in 1932. From Wiener-Ikehara's theorem and the non-disappearance of the zeta function on the straight line in the complex number plane with the real part 1, the prime number theorem follows .

He later helped spread Wiener’s ideas on cybernetics in Japan and translated Wiener’s books into Japanese. He also wrote textbooks on differential equations and analytical number theory .

Individual evidence

  1. ↑ Brief biography in: Transactions of the Institute of Electronics and Communication Engineers of Japan, Volume 65, 1982, p. 686
  2. ↑ Life data in A. Ivic, Theory of Hardy's Zeta-Function , Cambridge University Press 2013, p. 204
  3. ↑ Shikao Ikehara in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  4. ↑ Wiener visited him there in the mid-1930s on his trip to Japan and China
  5. ↑ Ikehara: An extension of Landau's theorem in the analytic theory of numbers, Journal of Mathematics and Physics of the Massachusetts Institute of Technology, Volume 10, 1931, pp. 1-12
personal data
SURNAME Ikehara, Shikao
ALTERNATIVE NAMES 池 原 止 戈夫 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH April 11, 1904
PLACE OF BIRTH Osaka prefecture
DATE OF DEATH October 10, 1984