Generalized Frobenius partitions, k-cores, k-quotients, and cranks
Acta Arithmetica (1992)
- Volume: 62, Issue: 1, page 97-102
- ISSN: 0065-1036
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topLouis Worthy Kolitsch. "Generalized Frobenius partitions, k-cores, k-quotients, and cranks." Acta Arithmetica 62.1 (1992): 97-102. <http://eudml.org/doc/206482>.
@article{LouisWorthyKolitsch1992,
author = {Louis Worthy Kolitsch},
journal = {Acta Arithmetica},
keywords = {cranks; Frobenius partitions},
language = {eng},
number = {1},
pages = {97-102},
title = {Generalized Frobenius partitions, k-cores, k-quotients, and cranks},
url = {http://eudml.org/doc/206482},
volume = {62},
year = {1992},
}
TY - JOUR
AU - Louis Worthy Kolitsch
TI - Generalized Frobenius partitions, k-cores, k-quotients, and cranks
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 1
SP - 97
EP - 102
LA - eng
KW - cranks; Frobenius partitions
UR - http://eudml.org/doc/206482
ER -
References
top- [1] G. E. Andrews, Generalized Frobenius partitions, Mem. Amer. Math. Soc. 301 (1984). Zbl0544.10010
- [2] G. E. Andrews, The hard-hexagon model and Rogers-Ramanujan type identities, Proc. Nat. Acad. Sci. U.S.A. 78 (1981), 5290-5292. Zbl0526.33004
- [3] F. G. Frobenius, Über die Charactere der symmetrischen Gruppe, Preuss. Akad. Berlin, 1900, 516-534. Zbl31.0129.02
- [4] F. G. Garvan, Some congruences for partitions that are p-cores, to be published.
- [5] F. G. Garvan, personal letter, April 1991.
- [6] F. G. Garvan, D. Kim and D. Stanton, Cranks and t-cores, Invent. Math. 101 (1990), 1-17. Zbl0721.11039
- [7] L. W. Kolitsch, A relationship between certain colored generalized Frobenius partitions and ordinary partitions, J. Number Theory 33 (1989), 220-223. Zbl0679.10014
- [8] J. Olsson, Frobenius symbols for partitions and degrees of spin characters, Math. Scand. 61 (1987), 223-247. Zbl0658.20012
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