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Constructive elementary estimates for M(x)

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Analytic Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 899))

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References

  1. P.L. Chebyshev, Mémoire sur les nombres premiers, J. Math. Pure Appl. 17 (1852), 366–390. Also appears in Mémoires présentés à l'Académie Imperial des Sciences de St.-Pétersbourg par divers Savants et lus dans ses Assemblées 7 (1854), 15–30. Also in Oeuvres, V. 1 (1899), 49–70.

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  2. H.G. Diamond and P. Erdös, On sharp elementary prime number estimates, to appear in l'Enseignement Math.

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  3. W.J. Ellison in collaboration with M. Mendés France, Les nombres premiers, Herrmann, Paris, 1975.

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  4. E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Band 2, Teubner, Leipzig, 1909. Reprinted with an appendix by P.T. Bateman, Chelsea, New York, 1953.

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  5. R.A. MacLeod, A new estimate for the sum \(M(x) = \sum\limits_{n \leqslant x} {\mu (n)}\), Acta Arith. 13 (1967), 49–59, Errata, Ibid. 16 (1969), 99–100.

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  6. L. Schoenfeld An improved estimate for the summatory function of the Möbius function, Acta Arith. 15 (1968/69), 221–233.

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  7. J.J. Sylvester, On arithmetical series, II, Messenger of Math (2) 21 (1892), 87–120. *** DIRECT SUPPORT *** A00J4373 00007

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Authors
  1. Harold G. Diamond
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  2. Kevin S. McCurley
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Editor information

Marvin I. Knopp

Additional information

Dedicated to Professor Emil Grosswald on the occasion of his retirement.

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© 1981 Springer-Verlag

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Diamond, H.G., McCurley, K.S. (1981). Constructive elementary estimates for M(x). In: Knopp, M.I. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096465

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  • DOI: https://doi.org/10.1007/BFb0096465

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11173-3

  • Online ISBN: 978-3-540-38953-8

  • eBook Packages: Springer Book Archive

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