Shikao Ikehara

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). Ikehara, using Wiener's Tauberian theory, established the Wiener-Ikehara theorem, and derived a new proof of the prime number theorem. In particular he showed that the prime number theorem is equivalent to the non-vanishing of the zeta function on the line Re s = 1. Earlier proofs of the prime number theorem relied on the just mentioned non-vanishing property of the zeta function, together with some bounds on the order of growth of the zeta function.

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