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Probability and Prime Numbers

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D.D. Kosambi
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Abstract

This paper, received in July 1964 and marked as being communicated by Sir C.V. Raman, then President of the Indian Academy of Sciences is one of four that DDK wrote under the Ducray pseudonym.

Published in Proceedings of the Indian Academy of Sciences 60, 159–64 (1964). Reprinted with permission.

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References

  1. K. Prachar, Primzahlverteilung (Berlin, 1957), p. 157 ff.

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  2. G. Ricci, Sul pennello di quasi-asintoticità della differenza di interi primi consecutivi. Atti. Accad. naz. Lincei (Rend.), Série 8, 17, 96–192 and 51–347 (1954–55).

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  3. In a private communication of Prof. P. Erdős to Prof. D.D. Kosambi.

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  4. D.D. Kosambi, The sampling distribution of primes. Proc. Nat. Acad. Sci. (USA) 49, 20–23 (1963).

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  5. W. Feller An Introduction to Probability Theory and its Applications, vol. 1, (New York, 1950), pp. 61–157. for the laws of large numbers and of the iterated logarithm.

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  6. W. Feller, ibid., p. 154.

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  7. S. Ducray, Normal Sequences, to appear in the J. Uni. Bombay.

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Ducray, S. (2016). Probability and Prime Numbers. In: Ramaswamy, R. (eds) D.D. Kosambi. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3676-4_25

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