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Do sums of 4 biquadrates have a positive density?

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Algorithmic Number Theory (ANTS 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1423))

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References

  1. P. Barrucand, “Sur la distribution empirique des sommes de trois cubes ou de quatre bicarrés”, Note aux C. R. Acad. Sc. Paris, A 267 (1968), 409–411.

    MATH  MathSciNet  Google Scholar 

  2. J-M. Deshouillers, F. Hennecart, B. Landreau, “Sums of powers: an arithmetic refinement to the probabilistic model of Erdós and Rényi”, to appear in Acta Arithmetica.

    Google Scholar 

  3. P. Erdós et A. Rényi, “Additive properties of random sequences of positive integers”, Acta Arith. 6 (1960), 83–110.

    MathSciNet  Google Scholar 

  4. J.H. Goguel, “über Summen von zufÄlligen Folgen natürlichen Zahlen”, J.-Reine-Angew.-Math. 278/279 (1975),63–77.

    Article  MathSciNet  Google Scholar 

  5. C. Hooley, “On some topics connected with Waring's problem”, J.-Reine-Angew.-Math. 369 (1986), 110–153.

    Article  MATH  MathSciNet  Google Scholar 

  6. E. Landau, “über die Einteilung der ... Zahlen in 4 Klassen ...“, Arch. Math. Phys. (3) 13 (1908), 305–312.

    MATH  Google Scholar 

  7. B. Landreau, “Modèle probabiliste pour les sommes de s puissances s-ièmes”, Compositio Math. 99 (1995), 1–31.

    MATH  MathSciNet  Google Scholar 

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Joe P. Buhler

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© 1998 Springer-Verlag Berlin Heidelberg

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Deshouillers, J.M., Hennecart, F., Landreau, B. (1998). Do sums of 4 biquadrates have a positive density?. In: Buhler, J.P. (eds) Algorithmic Number Theory. ANTS 1998. Lecture Notes in Computer Science, vol 1423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054862

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  • DOI: https://doi.org/10.1007/BFb0054862

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  • Print ISBN: 978-3-540-64657-0

  • Online ISBN: 978-3-540-69113-6

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