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A combinatorial proof of Andrews' partition functions related to Schur's partition theorem

Author(s): Ae Ja Yee
Journal: Proc. Amer. Math. Soc. 130 (2002), 2229-2235.
MSC (1991): Primary 05A17, 11P81
Posted: March 8, 2002
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Abstract | References | Similar articles | Additional information

Abstract: We construct an involution to show equality between partition functions related to Schur's second partition theorem.

References:

1.: G. E. Andrews, Schur's Theorem, Partitions with Odd Parts and the Al-Salam-Carlitz Polynomials, in -series from a contemporary perspective, Contemporary Mathematics, M.E.H. Ismail and D. Stanton, eds., Vol. 254, American Mathematical Society, Providence, RI, (2000), 45-56. MR 2001g:11160
2.: I. Schur, Zur Additiven Zahlentheorìe, Ges. Abhandlungen Vol. 2, Springer, Berlin, 43-50.

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Additional Information:

Ae Ja Yee
Affiliation: Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801
Email: yee@math.uiuc.edu

DOI: 10.1090/S0002-9939-02-06560-7
PII: S 0002-9939(02)06560-7
Received by editor(s): March 5, 2001
Posted: March 8, 2002
Additional Notes: This research was supported by the postdoctoral fellowship program from the Korea Science and Engineering Foundation.
Communicated by: Dennis A. Hejhal
Copyright of article: Copyright 2002, American Mathematical Society


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