A combinatorial proof of Andrews’ partition functions related to Schur’s partition theorem
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- by Ae Ja Yee PDF
- Proc. Amer. Math. Soc. 130 (2002), 2229-2235 Request permission
Abstract:
We construct an involution to show equality between partition functions related to Schur’s second partition theorem.References
- George E. Andrews, Schur’s theorem, partitions with odd parts and the Al-Salam-Carlitz polynomials, $q$-series from a contemporary perspective (South Hadley, MA, 1998) Contemp. Math., vol. 254, Amer. Math. Soc., Providence, RI, 2000, pp. 45–56. MR 1768922, DOI 10.1090/conm/254/03946
- I. Schur, Zur Additiven Zahlentheorìe, Ges. Abhandlungen Vol. 2, Springer, Berlin, 43-50.
Additional Information
- Ae Ja Yee
- Affiliation: Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801
- Email: yee@math.uiuc.edu
- Received by editor(s): March 5, 2001
- Published electronically: 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 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2229-2235
- MSC (1991): Primary 05A17, 11P81
- DOI: https://doi.org/10.1090/S0002-9939-02-06560-7
- MathSciNet review: 1896402