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Partitions in squares

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Abstract

In this paper we study primarily partitions in different squares. A complete characterization of the least number of terms needed in different cases is given. The asymptotic number of partitions in squares and in different squares is deduced by use of numerical results obtained from extensive computer runs. Some other related problems are also discussed.

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References

  1. G. E. Andrews,The Theory of Partitions, Encyclopedia of Mathematics and its Applications, Addison-Wesley Publishing Company (1976).

  2. G. H. Hardy,Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Cambridge University Press, (1940), 60–64.

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Authors and Affiliations

  1. Department of Computer Science, Lund University, Lund, Sweden

    Jan Bohman, Carl-Erik Fröberg & Hans Riesel

  2. Department of Computer Science, Royal Institute of Technology, Stockholm, Sweden

    Jan Bohman, Carl-Erik Fröberg & Hans Riesel

Authors
  1. Jan Bohman
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  2. Carl-Erik Fröberg
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  3. Hans Riesel
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Bohman, J., Fröberg, CE. & Riesel, H. Partitions in squares. BIT 19, 297–301 (1979). https://doi.org/10.1007/BF01930983

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  • DOI: https://doi.org/10.1007/BF01930983

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