Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

Applications of residues to combinatorial identities

Author(s): I-Chiau Huang
Journal: Proc. Amer. Math. Soc. 125 (1997), 1011-1017.
MSC (1991): Primary 05A19; Secondary 13F25
MathSciNet review: 1401744
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: A concrete aspect of Grothendieck Duality is used to give local cohomology proofs of combinatorial identities including MacMahon's master theorem, Grosswald identity, identity of Shoo, Tepper identity, and others.

References:

1.: G. P. Egorychev. Integral Representation and the Computation of Combinatorial Sums, volume 59 of Translation of Mathematical Monographs. American Mathematical Society, 1984. MR 85a:05008
2.: I. J. Good. A short proof of MacMahon's `master theorem'. Proc. Cambridge Philos. Soc., 58:160, 1962. MR 25:1109a
3.: I. P. Goulden and D. M. Jackson. Combinatorial Enumeration. John Wiley & Sons, 1983. MR 84m:05002
4.: I-C. Huang. Pseudofunctors on modules with zero dimensional support. Memoirs of the American Mathematical Society, 114(548), 1995. MR 95h:13013
5.: E. Kunz. Kähler Differentials. Vieweg, Braunschweig, Wiesbaden, 1986. MR 88e:14025
6.: J. Lipman. Dualizing Sheaves, Differentials and Residues on Algebraic Varieties. Astérisque 117, 1984. MR 86g:14008
7.: H. Matsumura. Commutative Ring Theory. Cambridge University Press, 1986. MR 88h:13001

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|