Generalized Frobenius partitions, k-cores, k-quotients, and cranks

• Autorzy: Louis Worthy Kolitsch
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1992
• Tom: 62
• Numer: 1
• Strony: 97-102

Daty

wydano

1992

otrzymano

1991-10-08

Twórcy

autor

Louis Worthy Kolitsch

• Department of Mathematics and Computer Science, The University of Tennessee at Martin, Martin, Tennessee 38238, U.S.A.

Bibliografia

• [1] G. E. Andrews, Generalized Frobenius partitions, Mem. Amer. Math. Soc. 301 (1984).
• [2] G. E. Andrews, The hard-hexagon model and Rogers-Ramanujan type identities, Proc. Nat. Acad. Sci. U.S.A. 78 (1981), 5290-5292.
• [3] F. G. Frobenius, Über die Charactere der symmetrischen Gruppe, Preuss. Akad. Berlin, 1900, 516-534.
• [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.
• [7] L. W. Kolitsch, A relationship between certain colored generalized Frobenius partitions and ordinary partitions, J. Number Theory 33 (1989), 220-223.
• [8] J. Olsson, Frobenius symbols for partitions and degrees of spin characters, Math. Scand. 61 (1987), 223-247.