Common summands in partitions

Hang-Fai Yeung

Acta Arithmetica (1992)

  • Volume: 60, Issue: 4, page 307-320
  • ISSN: 0065-1036

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Hang-Fai Yeung. "Common summands in partitions." Acta Arithmetica 60.4 (1992): 307-320. <http://eudml.org/doc/206440>.

@article{Hang1992,
author = {Hang-Fai Yeung},
journal = {Acta Arithmetica},
keywords = {statistical group theory; -tuples of unrestricted partitions; common summands; -tuples of conjugacy classes; symmetric group; cycle representations; permutations; common cycle-lengths; -tuples of unequal partitions},
language = {eng},
number = {4},
pages = {307-320},
title = {Common summands in partitions},
url = {http://eudml.org/doc/206440},
volume = {60},
year = {1992},
}

TY - JOUR
AU - Hang-Fai Yeung
TI - Common summands in partitions
JO - Acta Arithmetica
PY - 1992
VL - 60
IS - 4
SP - 307
EP - 320
LA - eng
KW - statistical group theory; -tuples of unrestricted partitions; common summands; -tuples of conjugacy classes; symmetric group; cycle representations; permutations; common cycle-lengths; -tuples of unequal partitions
UR - http://eudml.org/doc/206440
ER -

References

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  1. [1] 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
  2. [2] P. Erdős and P. Turán, On some problems of a statistical group theory VII, Period. Math. Hungar. 2 (1972), 149-163. Zbl0247.20008
  3. [3] P. Erdős and P. Turán, On some general problems in the theory of partitions, I, Acta Arith. 18 (1971), 53-62. Zbl0217.32202
  4. [4] H. Gupta, Selected Topics in Number Theory, Abacus Press, 1980. 
  5. [5] K. F. Roth and G. Szekeres, Some asymptotic formulae in the theory of partitions, Quart. J. Math. (Oxford) (2) 5 (1954), 244-259. Zbl0057.03902
  6. [6] G. Szekeres, Some asymptotic formulae in the theory of partitions (II), Quart. J. Math. (Oxford) (2) 4 (1953), 96-111. Zbl0050.04101
  7. [7] P. Turán, Combinatorics, partitions, group theory, in: Colloquio Int. s. Teorie Combinatorie, Roma 1973, Accademia Nazionale dei Lincei, 1976, Tomo II, 181-200. 
  8. [8] P. Turán, On a property of partitions, J. Number Theory 6 (1974), 405-411. Zbl0296.05010
  9. [9] P. Turán, On some phenomena in the theory of partitions, Astérisque 24-25 (1975), 311-319. Zbl0308.10009
  10. [10] P. Turán, On some connections between combinatorics and group theory, in: Combinatorial Theory and its Applications (Balatonfüred 1969), Colloq. Math. Soc. J. Bolyai 4, North-Holland, 1970, 1055-1082. 

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