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

• Autorzy: P. Erdős , J.-L. Nicolas , A. Sárközy
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1992
• Tom: 63
• Numer: 1
• Strony: 61-83

Daty

wydano

1992

otrzymano

1990-10-25

Twórcy

autor

P. Erdős

• Mathematical Institute of the Hungarian Academy of Sciences, Realtanoda U. 13-15, PF. 127, H-1364 Budapest, Hungary

autor

J.-L. Nicolas

• Mathématiques, Bât. 101, Université Claude Bernard, Lyon 1, F-69622 Villeurbanne Cedex, France

autor

A. Sárközy

• Mathematical Institute of the Hungarian Academy of Sciences, Realtanoda U. 13-15, PF. 127, H-1364 Budapest, Hungary

Bibliografia

• [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.