Some general problems on the number of parts in partitions

L. B. Richmond

Acta Arithmetica (1994)

  • Volume: 66, Issue: 4, page 297-313
  • ISSN: 0065-1036

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L. B. Richmond. "Some general problems on the number of parts in partitions." Acta Arithmetica 66.4 (1994): 297-313. <http://eudml.org/doc/206607>.

@article{L1994,
author = {L. B. Richmond},
journal = {Acta Arithmetica},
keywords = {partitions into parts chosen from a general sequence; unequal partitions; asymptotic behaviour},
language = {eng},
number = {4},
pages = {297-313},
title = {Some general problems on the number of parts in partitions},
url = {http://eudml.org/doc/206607},
volume = {66},
year = {1994},
}

TY - JOUR
AU - L. B. Richmond
TI - Some general problems on the number of parts in partitions
JO - Acta Arithmetica
PY - 1994
VL - 66
IS - 4
SP - 297
EP - 313
LA - eng
KW - partitions into parts chosen from a general sequence; unequal partitions; asymptotic behaviour
UR - http://eudml.org/doc/206607
ER -

References

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  1. [1] F. C. Auluck, S. Chowla and H. Gupta, On the maximum value of the number of partitions of n into k parts, J. Indian Math. Soc. (N.S.) 6 (1942), 105-112. Zbl0063.00139
  2. [2] P. Bateman and P. Erdős, Monotonicity of partition functions, Mathematika 3 (1956), 1-14. Zbl0074.03502
  3. [3] 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
  4. [4] P. Erdős and P. Turán, On some general problems in the theory of partitions, I, Acta Arith. 18 (1971), 53-62. Zbl0217.32202
  5. [5] C. B. Haselgrove and H. N. V. Temperley, Asymptotic formulae in the theory of partitions, Proc. Cambridge Philos. Soc. 50 (1954), 225-241. Zbl0055.27401
  6. [6] I. I. Hirschman and D. V. Widder, The Convolution Transform, Princeton University Press, Princeton, 1955. Zbl0039.33202
  7. [7] G. Meinardus, Asymptotische Aussagen über Partitionen, Math. Z. 59 (1954), 388-398. Zbl0055.03806
  8. [8] L. B. Richmond, Asymptotic relations for partitions, J. Number Theory 7 (1975), 389-405. Zbl0315.10043
  9. [9] L. B. Richmond, The moments of partitions, II, Acta Arith. 28 (1975), 229-243. Zbl0318.10034
  10. [10] L. B. Richmond, Asymptotic relations for partitions, Trans. Amer. Math. Soc. 219 (1976), 379-385. Zbl0338.10049
  11. [11] K. F. Roth and G. Szekeres, Some asymptotic formulae in the theory of partitions, Quart. J. Math. Oxford Ser. (2) 5 (1954), 241-259. Zbl0057.03902
  12. [12] W. Schwarz, Schwache asymptotische Eigenschaften von Partitionen, J. Reine Angew. Math. 232 (1968), 1-16. 
  13. [13] G. Szekeres, An asymptotic formula in the theory of partitions, I, Quart. J. Math. Oxford Ser. (2) 2 (1951), 85-108. Zbl0042.04102
  14. [14] G. Szekeres, Some asymptotic formulae in the theory of partitions, II, Quart. J. Math. Oxford Ser. (2) 4 (1953), 96-111. Zbl0050.04101
  15. [15] P. Turán, Combinatorics, partitions, group theory, in: Proc. Internat. Colloq. in Combin. Theory, Accad. Naz. Lincei, Rome, 1973, T. II, 1976, 181-200. 

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