@article{bwmeta1.element.bwnjournal-article-aav65i1p29bwm,
author = {D. V. Lee},
title = {The asymptotic distribution of the number of summands in unrestricted $\Lambda$-partitions},
journal = {Acta Arithmetica},
volume = {64},
year = {1993},
pages = {29-43},
zbl = {0795.11052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav65i1p29bwm}
}
D. V. Lee. The asymptotic distribution of the number of summands in unrestricted Λ-partitions. Acta Arithmetica, Tome 64 (1993) pp. 29-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav65i1p29bwm/
[000] [1] G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976. | Zbl 0371.10001
[001] [2] F. C. Auluck and C. B. Haselgrove, On Ingham's Tauberian theorem for partitions, Proc. Cambridge Philos. Soc. 48 (1952), 566-570. | Zbl 0047.28002
[002] [3] P. Bateman and P. Erdős, Monotonicity of partition functions, Mathematika 3 (1956), 1-14. | Zbl 0074.03502
[003] [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. | Zbl 0025.10703
[004] [5] P. Erdős and P. Turán, On some general problems in the theory of partitions, Acta Arith. 18 (1971), 53-62. | Zbl 0217.32202
[005] [6] A. E. Ingham, A Tauberian theorem for partitions, Ann. of Math. (2) 42 (1941), 1075-1090. | Zbl 0063.02973
[006] [7] J. H. Loxton and H.-F. Yeung, Common summands in partitions, Acta Arith. 60 (1992), 307-320. | Zbl 0768.11040
[007] [8] G. Meinardus, Asymptotische Aussagen über Partitionen, Math. Z. 59 (1954), 388-398. | Zbl 0055.03806
[008] [9] P. A. P. Moran, An Introduction to Probability Theory, Clarendon Press, 1968. | Zbl 0169.48602
[009] [10] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 315-352 | Zbl 46.0278.06