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

P. Erdős; J. Nicolas; A. Sárközy

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 1, page 61-83
  • ISSN: 0010-1354

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Erdős, P., Nicolas, J., and Sárközy, A.. "On the number of pairs of partitions of n without common subsums." Colloquium Mathematicae 63.1 (1992): 61-83. <http://eudml.org/doc/210135>.

@article{Erdős1992,
author = {Erdős, P., Nicolas, J., Sárközy, A.},
journal = {Colloquium Mathematicae},
keywords = {pairs of partitions without equal subsums; number of partitions; asymptotic expansion},
language = {eng},
number = {1},
pages = {61-83},
title = {On the number of pairs of partitions of n without common subsums},
url = {http://eudml.org/doc/210135},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Erdős, P.
AU - Nicolas, J.
AU - Sárközy, A.
TI - On the number of pairs of partitions of n without common subsums
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 1
SP - 61
EP - 83
LA - eng
KW - pairs of partitions without equal subsums; number of partitions; asymptotic expansion
UR - http://eudml.org/doc/210135
ER -

References

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  1. [1] J. Dixmier, Sur les sous-sommes d'une partition, Mém. Soc. Math. France 35, Suppl. Bull. Soc. Math. France 116 (1988). Zbl0684.10047
  2. [2] J. Dixmier, Sur les sous-sommes d'une partition, II, Portugal. Math. 46 (1989), 137-154. Zbl0684.10048
  3. [3] J. Dixmier, Sur les sous-sommes d'une partition, III, Bull. Sci. Math. 113 (1989), 125-149. Zbl0684.10049
  4. [4] J. Dixmier, Partitions avec sous-sommes interdites, Bull. Soc. Math. Belgique 42 (1990), 477-500. Zbl0734.11051
  5. [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. [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. Zbl0719.11067
  7. [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. Zbl0673.05007
  8. [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. [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. [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. Zbl0523.10029
  11. [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). Zbl46.0198.04
  12. [12] A. Sárközy, Finite addition theorems, I, J. Number Theory 32 (1989), 114-130. Zbl0674.10042
  13. [13] A. Sárközy, Finite addition theorems, II, ibid., to appear. 

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