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Chapter 1 The Prime Number Theorem and Generalizations

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Book cover Non-vanishing of L-Functions and Applications

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

It was a century ago that Jacques Hadamard and Charles de la Vallée Poussin proved (independently) the celebrated prime number theorem.

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References

  1. W. Ellison, Prime numbers, John Wiley and Sons, Paris, Hermann, 1985.

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  2. L. Féjer, Über trigonometrische Polynome, J. Reine Angew. Math., 146 (1916), pp. 53–82.

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  3. Jean-Pierre Kahane, Jacques Hadamard, Math. Intelligencer, Vol. 13, No. 1, (1991), pp. 23–29.

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  4. S. Lang, Algebraic Number Theory, Springer-Verlag, 1986.

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  5. V. Kumar Murty, On the Sato-Tate conjecture, in Number Theory related to Fermat’s Last Theorem, (ed. N. Koblitz), Progress in Mathematics, Vol. 26, (1982), pp. 195–205.

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  6. W. Rudin, Real and Complex analysis, Bombay, Tata Mcgraw-Hill Publishing Co. Ltd., 1976.

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Authors and Affiliations

  1. Department of Mathematics and Statistics Jeffery Hall, Queen’s University, Kingston, ON, K7L 3N6, Canada

    M. Ram Murty

  2. Department of Mathematics, University of Toronto, 40, St. George Street, Toronto, ON, M5S 2E4, Canada

    V. Kumar Murty

Authors
  1. M. Ram Murty
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  2. V. Kumar Murty
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© 1997 Springer Basel AG

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Murty, M.R., Murty, V.K. (1997). Chapter 1 The Prime Number Theorem and Generalizations. In: Non-vanishing of L-Functions and Applications. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0274-1_2

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  • DOI: https://doi.org/10.1007/978-3-0348-0274-1_2

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  • Publisher Name: Springer, Basel

  • Print ISBN: 978-3-0348-0273-4

  • Online ISBN: 978-3-0348-0274-1

  • eBook Packages: Springer Book Archive

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