Acta Mathematica Hungarica

, Volume 62, Issue 3–4, pp 293–309 | Cite as

The size of the middle summands in partitions into distincts-th powers

  • H. F. Yeung
Article
  • 19 Downloads

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    P. Erdős and J. Lehner, The distribution of the number of summands in the partitions of a positive integer,Duke Math. Journal,8 (1941), 335–345.Google Scholar
  2. [2]
    P. Erdős and M. Szalay, On the statistical theory of partitions,Topics in Classical Number Theory (Budapest, 1981), Coll. Math. Soc. János Bolyai34, 397–450.Google Scholar
  3. [3]
    P. Erdős and P. Turán, On some general problems in the theory of partitions, I,Acta Arith.,18 (1971), 53–62.Google Scholar
  4. [4]
    G. H. Hardy and S. Ramanujan, Asymptotic formulae in combinatory analysis,Proc. London Math. Soc.,17 (1918), 75–115.Google Scholar
  5. [5]
    K. Knopp,Infinite Series (London, 1928).Google Scholar
  6. [6]
    F. D. Murnaghan, The theory of group representations, Dover (New York, 1938).Google Scholar
  7. [7]
    M. Szalay, A note on the dimensions of representations ofS n, Topics in Number Theory (Debrecen, 1974), Coll. Math. Soc. János Bolyai13, Ed. P. Turán, 383–388.Google Scholar
  8. [8]
    M. Szalay and P. Turán, On some problems of the statistical theory of partitions with application to characters of the symmetric group, I–III, the last paper appears inActa Math. Acad. Sci. Hungar.,32 (1978), 129–155.Google Scholar
  9. [9]
    G. Szekeres, Some asymptotic formulae in the theory of partitions (II),Quart. J. of Math.,4 (1953), 96–111.Google Scholar
  10. [10]
    R. C. Vaughan,The Hardy-Littlewood Method, Cambridge University Press (Cambridge, 1981).Google Scholar
  11. [11]
    H. F. Yeung, Joint distribution of partitions intos-th powers by number and size of parts, preprint.Google Scholar
  12. [12]
    H. F. Yeung, On the maximal summands ins-th power partitions: generalization of a result of Erdős and Lehner, preprint.Google Scholar

Copyright information

© Akadémiai Kiadó 1993

Authors and Affiliations

  • H. F. Yeung
    • 1
  1. 1.Faculty of Business AdministrationUniversity of MacauTaipaMacau

Personalised recommendations