Shikao Ikehara, Date of Birth, Place of Birth, Date of Death

    

Shikao Ikehara

Japanese mathematician

Date of Birth: 11-Apr-1904

Place of Birth: Ōsaka Prefecture, Japan

Date of Death: 10-Oct-1984

Profession: mathematician, university teacher

Nationality: Japan

Zodiac Sign: Aries


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About Shikao Ikehara

  • Shikao Ikehara (?? ???, Ikehara Shikao, April 11, 1904 – October 10, 1984) was a Japanese mathematician.
  • He was a student of Norbert Wiener at MIT (PhD 1930). Following Wiener in 1928, in 1931 Ikehara used Wiener's Tauberian theory to derive another proof of the prime number theorem, demonstrated solely via the non-vanishing of the zeta function on the line Re s = 1.
  • An improved version of Ikehara's 1931 result by Wiener in 1932 is now known as the Wiener-Ikehara theorem. Proofs of the prime number theorem before 1928 and only using the behaviour of the zeta function on the line Re s = 1 (as the 1908 proof of Edmund Landau), also appealed to some bound on the order of growth of the zeta function on this line.
  • Returning to Japan after studying with Dr Wiener, he taught at Osaka University and the Tokyo Institute of Technology.
  • He translated Cybernetics: Or Control and Communication in the Animal and Machine into Japanese.

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