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

Acta Arithmetica (1993)

- Volume: 65, Issue: 1, page 29-43
- ISSN: 0065-1036

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topD. V. Lee. "The asymptotic distribution of the number of summands in unrestricted Λ-partitions." Acta Arithmetica 65.1 (1993): 29-43. <http://eudml.org/doc/206561>.

@article{D1993,

author = {D. V. Lee},

journal = {Acta Arithmetica},

keywords = {unrestricted partitions; asymptotic distribution of the number of summands; statistical aspects of the restricted partitions; limit distribution},

language = {eng},

number = {1},

pages = {29-43},

title = {The asymptotic distribution of the number of summands in unrestricted Λ-partitions},

url = {http://eudml.org/doc/206561},

volume = {65},

year = {1993},

}

TY - JOUR

AU - D. V. Lee

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

JO - Acta Arithmetica

PY - 1993

VL - 65

IS - 1

SP - 29

EP - 43

LA - eng

KW - unrestricted partitions; asymptotic distribution of the number of summands; statistical aspects of the restricted partitions; limit distribution

UR - http://eudml.org/doc/206561

ER -

## References

top- [1] G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976. Zbl0371.10001
- [2] F. C. Auluck and C. B. Haselgrove, On Ingham's Tauberian theorem for partitions, Proc. Cambridge Philos. Soc. 48 (1952), 566-570. Zbl0047.28002
- [3] P. Bateman and P. Erdős, Monotonicity of partition functions, Mathematika 3 (1956), 1-14. Zbl0074.03502
- [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. Zbl0025.10703
- [5] P. Erdős and P. Turán, On some general problems in the theory of partitions, Acta Arith. 18 (1971), 53-62. Zbl0217.32202
- [6] A. E. Ingham, A Tauberian theorem for partitions, Ann. of Math. (2) 42 (1941), 1075-1090. Zbl0063.02973
- [7] J. H. Loxton and H.-F. Yeung, Common summands in partitions, Acta Arith. 60 (1992), 307-320. Zbl0768.11040
- [8] G. Meinardus, Asymptotische Aussagen über Partitionen, Math. Z. 59 (1954), 388-398. Zbl0055.03806
- [9] P. A. P. Moran, An Introduction to Probability Theory, Clarendon Press, 1968. Zbl0169.48602
- [10] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 315-352 Zbl46.0278.06

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