On the Density of Sums of Three Cubes

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

   MATH  MathSciNet  Google Scholar 

2. Deshouillers, J.-M., Hennecart, F., Landreau, B.: Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi. Acta Arith. 85, 13–33 (1998)

   MATH  MathSciNet  Google Scholar 

3. Deshouillers, J.-M., Hennecart, F., Landreau, B.: Do sums of 4 biquadrates have a positive density? In: Buhler, J.P. (ed.) ANTS 1998. LNCS, vol. 1423, pp. 196–203. Springer, Heidelberg (1998)

   Chapter  Google Scholar 

4. Erdős, P., Rényi, A.: Additive properties of random sequences of positive integers. Acta Arith. 6, 83–110 (1960)

   MathSciNet  Google Scholar 

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

   Article  MATH  MathSciNet  Google Scholar 

6. Landau, E.: Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindestzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate. Archiv der Math. und Phys. 13(3), 305–312 (1908); Collected Works, Mirsky, L., Schoenberg, I.J., Schwarz, W., Wefelscheid, H. (eds.) vol. 4, pp. 59–66. Thales Verlag (1985)

   Google Scholar 

7. Vaughan, R.C.: The Hardy-Littlewood method. Cambridge Tracts in Mathematics, vol. 80. Cambridge University Press, Cambridge-New York (1981)

   MATH  Google Scholar 

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