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Statistical Methods in Number Theory

In: D.D. Kosambi

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  • D. D. Kosambi

Abstract

Although no longer affiliated with the TIFR, DDK persisted in his prime obsession, repeating and refining the basic arguments set forth in his earlier papers. The Hungarian mathematician A. Rényi reviewed this paper in Mathematical Reviews and noted that “Neither in this paper nor in his previous paper did the author succeed in proving his hypothesis, nor in deducing from it the Riemann hypothesis.” The “Kosambi hypothesis” (see the discussion on pages 7–9) is, according to Rényi “even more difficult than the problem of the validity of the Riemann hypothesis. As a matter of fact, no obvious method exists to prove the author’s hypothesis even under the assumption of the Riemann hypothesis.” Theorem 1 of this paper, therefore, is not proven.

Suggested Citation

  • D. D. Kosambi, 2016. "Statistical Methods in Number Theory," Springer Books, in: Ramakrishna Ramaswamy (ed.), D.D. Kosambi, chapter 0, pages 197-205, Springer.
  • Handle: RePEc:spr:sprchp:978-81-322-3676-4_24
    DOI: 10.1007/978-81-322-3676-4_24
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