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On Beurling's prime number theorem

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References

  1. P. T. Bateman, H. G. Diamond, Asymptotic distribution of Beurling's generalized prime numbers,Studies in Number Theory 152–210. Math. Assoc. Amer., Prentice-Hall, Englewood Cliffs N.J., 1969.

    Google Scholar 

  2. A. S. Besicovitch,Almost Periodic Functions, Cambridge University Press, 1954.

  3. A. Beurling, Analyse de la loi asymptotique... generalises,Acta Math. 68 (1937), 255–291.

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  4. H. G. Diamond, The prime number theorem for Beurling's generalized numbers,J. Number Theory 1 (1969), 200–207.MR 39:4106

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  5. L. Fejér, Über trigonometrische Polynome,J. Reine Angew. Math. 146 (1915), 53–82.

    Google Scholar 

  6. Sz. Gy. Révész, Some trigonometric extremal problems and duality,J. Austral Math. Soc. (Series A)50 (1991), 384–390.

    Google Scholar 

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Research partially supported by Hungarian National Foundation for Scientific Research, grant No. 1811.

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Révész, S.G. On Beurling's prime number theorem. Period Math Hung 28, 195–210 (1994). https://doi.org/10.1007/BF01876339

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