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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
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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.

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Additional Information:

I-Chiau Huang
Affiliation: Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China
Email: ichuang@math.sinica.edu.tw

DOI: 10.1090/S0002-9939-97-03923-3
PII: S 0002-9939(97)03923-3
Keywords: Combinatorial identity, residue
Received by editor(s): October 31, 1995
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 1997, American Mathematical Society

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The following works have cited this article

Chen, William Y. C. and Louck, James D, The combinatorics of a class of representation functions, Adv. Math 140 (1998), 207-236. MR 2000b:05132

I-Chiau Huang, Reversion of power series by residues, Communications in Algebra (3) 26 (1998), 803-812. MR 99g:14017

I-Chiau Huang and Su-Yun Huang, Bernoulli numbers and polynomials via residues, J. Number Theory 76 (1999), 178-193. MR 2000d:11027

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