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On sums of large differences between consecutive primes

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References

  1. Heath-Brown, D.R.: Zero density estimates for the Riemann zeta-function and DirichletL-functions, to appear

  2. Health-Brown, D.R.: On the differences between consecutive primes. J. London Math. Soc.18, 7–13 (1978)

    Google Scholar 

  3. Heath-Brown, D.R.: On the differences between consecutive primes II. Proc. London Math. Soc. to appear

  4. Heppner, E.: Bemerkungen über Lücken zwischen Primzahlen, Arch. Math.27, 492–494 (1976)

    Google Scholar 

  5. Huxley, M.N.: On the difference between consecutive primes, Invent. Math.15, 164–170 (1972)

    Google Scholar 

  6. Huxley, M.N.: Large values of Dirichlet polynomials II, Acta Arith.27, 159–169 (1975)

    Google Scholar 

  7. Huxley, M.N.: The distribution of prime numbers, Oxford, Clarendon Press, 1972

    Google Scholar 

  8. Jutila, M.: Zero-density estimates forL-functions, Acta Arith.32, 55–62 (1977)

    Google Scholar 

  9. Kolesnik, G.A.: On the estimates of certain trigonometrical sums (Russian), Acta Arith.25, 7–30 (1973)

    Google Scholar 

  10. Montgomery, H.L.: Topics in multiplicative number theory. Lecture Notes in Mathematics 227. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  11. Moreno, C.J.: The average size of gaps between primes. Matematika (Belgrade)21, 96–100 (1974)

    Google Scholar 

  12. Walfisz, A.: Weylsche Exponentialsummen in der neueren Zahlentheorie, Berlin: VEB 1963

    Google Scholar 

  13. Warlimont, R.: Über die Häufigkeit großer Differenzen konsekutiver Primzahlen. Monatsh. Math.83, 59–63 (1977)

    Google Scholar 

  14. Wolke, D.: Große Differenzen zwischen aufeinanderfolgenden Primzahlen, Math. Ann.218, 269–271 (1975)

    Google Scholar 

  15. Ingham, A.E.: On the difference between consecutive primes, Quarterly J. Math. (Oxford)8, 255–266 (1937)

    Google Scholar 

  16. Ingham, A.E.: On the estimation ofN(σ,T), Quarterly J. Math. (Oxford)11. 291–292 (1940)

    Google Scholar 

  17. Richert, H.-E.: Zur Abschätzung der Riemannschen Zetafunktion in der Nähe der Vertikalen σ=1, Math. Ann.169, 97–101 (1967)

    Google Scholar 

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Authors and Affiliations

  1. Rudarsko-geološki Fakultet, University of Beograd, Đušina 7, 11000, Beograd, Jugoslavia

    Aleksandar Ivić

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  1. Aleksandar Ivić
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Research financed by the Mathematical Institute of Beograd and Rep. Zajed of Serbia

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Ivić, A. On sums of large differences between consecutive primes. Math. Ann. 241, 1–9 (1979). https://doi.org/10.1007/BF01406704

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