The asymptotic distribution of the number of summands in unrestricted Λ-partitions

• Autorzy: D. V. Lee
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 29-43

Daty

wydano

1993

otrzymano

1992-06-19

Twórcy

autor

D. V. Lee

• Mathematics Department, Nottingham University, University Park, Nottingham NG7 2RD, U.K.

Bibliografia

• [1] G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976.
• [2] F. C. Auluck and C. B. Haselgrove, On Ingham's Tauberian theorem for partitions, Proc. Cambridge Philos. Soc. 48 (1952), 566-570.
• [3] P. Bateman and P. Erdős, Monotonicity of partition functions, Mathematika 3 (1956), 1-14.
• [4] P. Erdős and J. Lehner, The distribution of the number of summands in the partitions of a positive integer, Duke Math. J. 8 (1941), 335-345.
• [5] P. Erdős and P. Turán, On some general problems in the theory of partitions, Acta Arith. 18 (1971), 53-62.
• [6] A. E. Ingham, A Tauberian theorem for partitions, Ann. of Math. (2) 42 (1941), 1075-1090.
• [7] J. H. Loxton and H.-F. Yeung, Common summands in partitions, Acta Arith. 60 (1992), 307-320.
• [8] G. Meinardus, Asymptotische Aussagen über Partitionen, Math. Z. 59 (1954), 388-398.
• [9] P. A. P. Moran, An Introduction to Probability Theory, Clarendon Press, 1968.
• [10] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 315-352