On the asymptotics of the number of p̅-core partitions of integers

Ian Kiming

Acta Arithmetica (1997)

  • Volume: 80, Issue: 2, page 127-139
  • ISSN: 0065-1036

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Ian Kiming. "On the asymptotics of the number of p̅-core partitions of integers." Acta Arithmetica 80.2 (1997): 127-139. <http://eudml.org/doc/207032>.

@article{IanKiming1997,
author = {Ian Kiming},
journal = {Acta Arithmetica},
keywords = {partitions of integers; -core partitions; spin characters; modular forms; asymptotic formula},
language = {eng},
number = {2},
pages = {127-139},
title = {On the asymptotics of the number of p̅-core partitions of integers},
url = {http://eudml.org/doc/207032},
volume = {80},
year = {1997},
}

TY - JOUR
AU - Ian Kiming
TI - On the asymptotics of the number of p̅-core partitions of integers
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 2
SP - 127
EP - 139
LA - eng
KW - partitions of integers; -core partitions; spin characters; modular forms; asymptotic formula
UR - http://eudml.org/doc/207032
ER -

References

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  1. [1] P. Deligne, La conjecture de Weil I, Publ. Math. I.H.E.S. 43 (1974), 273-308. 
  2. [2] K. Erdmann and G. O. Michler, Blocks for symmetric groups and their covering groups and quadratic forms, manuscript, 1994. Zbl0894.20014
  3. [3] F. Garvan, D. Kim and D. Stanton, Cranks and t-cores, Invent. Math. 101 (1990), 1-17. Zbl0721.11039
  4. [4] A. Granville and K. Ono, Defect zero p-blocks for finite simple groups, Trans. Amer. Math. Soc. 348 (1996), 331-347. Zbl0855.20007
  5. [5] E. Hecke, Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik, No. 24 in: E. Hecke, Mathematische Werke, Vanderhoeck & Ruprecht, Göttingen, 1983. Zbl53.0345.02
  6. [6] I. Kiming, A note on a theorem of A. Granville and K. Ono, J. Number Theory 60 (1996), 97-102. 
  7. [7] I. Kiming, On the existence of p̅-core partitions of natural numbers, Quart. J. Math. (Oxford), to appear. Zbl0894.11038
  8. [8] G. O. Michler and J. B. Olsson, Weights for covering groups of symmetric and alternating groups, p ≠ 2, Canad. J. Math. 43 (1991), 792-813. Zbl0797.20010
  9. [9] T. Miyake, Modular Forms, Springer, 1989. 
  10. [10] A. O. Morris and J. B. Olsson, On p-quotients for spin characters, J. Algebra 119 (1988), 51-82. Zbl0686.20009
  11. [11] J. B. Olsson, Frobenius symbols for partitions and degrees of spin characters, Math. Scand. 61 (1987), 223-247. Zbl0658.20012
  12. [12] J. B. Olsson, On the p-blocks of symmetric and alternating groups and their covering groups, J. Algebra 128 (1990), 188-213. Zbl0695.20011
  13. [13] K. Ono, On the positivity of the number of t-core partitions, Acta Arith. 66 (1994), 221-228. Zbl0793.11027
  14. [14] H. Petersson, Modulfunktionen und quadratische Formen, Ergeb. Math. Grenzgeb. 100, Springer, 1982. Zbl0493.10033
  15. [15] I. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppen durch gebrochene lineare Substitutionen, No. 16 in: I. Schur, Gesammelte Abhandlungen, Bd. I, Springer, 1973 Zbl42.0154.02

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