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Shikao Ikehara (池原 止戈夫, 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.

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  • Shikao Ikehara (jap. 池原 止戈夫, Ikehara Shikao; * 11. April 1904 in der Präfektur Osaka; † 10. Oktober 1984) war ein japanischer Mathematiker. (de)
  • Shikao Ikehara (池原 止戈夫, 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. (en)
  • 池原 止戈夫(いけはら しかお、1904年4月11日 - 1984年10月10日)は日本の数学者、理学博士。 (ja)
  • Shikao Ikehara (池原 止戈夫 Ikehara Shikao?, 11 de abril de 1904 — 10 de outubro de 1984) foi um matemático japonês. Em sua tese de doutorado, orientado por Norbert Wiener, ele desenvolveu uma variante do teorema nauberiano de Wiener, adaptado ao tratamento da função zeta de Riemann, e que é a prova mais simples do teorema do número primo, ou seja, que a quantidade de números primos menores que n se aproxima assintoticamente de . (pt)
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  • Shikao Ikehara (jap. 池原 止戈夫, Ikehara Shikao; * 11. April 1904 in der Präfektur Osaka; † 10. Oktober 1984) war ein japanischer Mathematiker. (de)
  • 池原 止戈夫(いけはら しかお、1904年4月11日 - 1984年10月10日)は日本の数学者、理学博士。 (ja)
  • Shikao Ikehara (池原 止戈夫 Ikehara Shikao?, 11 de abril de 1904 — 10 de outubro de 1984) foi um matemático japonês. Em sua tese de doutorado, orientado por Norbert Wiener, ele desenvolveu uma variante do teorema nauberiano de Wiener, adaptado ao tratamento da função zeta de Riemann, e que é a prova mais simples do teorema do número primo, ou seja, que a quantidade de números primos menores que n se aproxima assintoticamente de . (pt)
  • Shikao Ikehara (池原 止戈夫, 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. (en)
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  • Shikao Ikehara (de)
  • 池原止戈夫 (ja)
  • Shikao Ikehara (en)
  • Shikao Ikehara (pt)
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