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Title

On the number of pairs of partitions of n without common subsums

Authors 1, 2, 1

Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, Realtanoda U. 13-15, PF. 127, H-1364 Budapest, Hungary
  2. Mathématiques, Bât. 101, Université Claude Bernard, Lyon 1, F-69622 Villeurbanne Cedex, France

Bibliography

  1. J. Dixmier, Sur les sous-sommes d'une partition, Mém. Soc. Math. France 35, Suppl. Bull. Soc. Math. France 116 (1988).
  2. J. Dixmier, Sur les sous-sommes d'une partition, II, Portugal. Math. 46 (1989), 137-154.
  3. J. Dixmier, Sur les sous-sommes d'une partition, III, Bull. Sci. Math. 113 (1989), 125-149.
  4. J. Dixmier, Partitions avec sous-sommes interdites, Bull. Soc. Math. Belgique 42 (1990), 477-500.
  5. J. Dixmier and J.-L. Nicolas, Partitions without small parts, in: Analytic and Algebraic Number Theory, Budapest 1987, G. Halász (ed.), Colloq. Math. Soc. János Bolyai 51, North-Holland, 1987, 9-33.
  6. J. Dixmier et J.-L. Nicolas, Partitions sans petits sommants, in: A Tribute to Paul Erdős (A. Baker, B. Bollobás and A. Hajnal, eds.), Cambridge University Press, 1990, 121-152.
  7. P. Erdős, J.-P. Nicolas and A. Sárközy, On the number of partitions of n without a given subsum, I, Discrete Math. 75 (1989), 155-166.
  8. P. Erdős, J.-P. Nicolas and A. Sárközy, On the number of partitions of n without a given subsum, II, in: Analytic Number Theory (Proc. Conf. in Honor of Paul T. Bateman), B. Berndt, H. Diamond, H. Halberstam and A. Hildebrand (eds.), Progr. Math. 85, Birkhäuser, 1990, 205-234.
  9. P. Erdős, J.-P. Nicolas and M. Szalay, Partitions into parts which are unequal and large, in: Number Theory, Ulm 1987, H. P. Schlickewei and E. Wirsing (eds.), Lecture Notes in Math. 1380, Springer, 1989, 19-30.
  10. P. Erdős and M. Szalay, On some problems of J. Dénes and P. Turán, in: Studies in Pure Mathematics to the Memory of P. Turán (P. Erdős, ed.), Akadémiai Kiadó, Budapest 1983, 187-212.
  11. G. H. Hardy and S. Ramanujan, Asymptotic formulae in combinatory analysis, Proc. London Math. Soc. (2) 17 (1918), 75-115 (also in: Collected Papers of S. Ramanujan, Cambridge University Press, 1927, and Chelsea, 1962, 276-309).
  12. A. Sárközy, Finite addition theorems, I, J. Number Theory 32 (1989), 114-130.
  13. A. Sárközy, Finite addition theorems, II, ibid., to appear.
Colloquium Mathematicum
1992/63/1
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Pages:
61-83
Main language of publication
English
Received
1990-10-25
Published
1992
Exact and natural sciences