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Pfaff's Method (III): Comparison With the WZ Method

https://doi.org/10.37236/1279
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-94-010-1220-1_3openalex-snapshot
Cohen-Macaulay Complexes
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Combinatorics and Commutative Algebra
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Subspace Arrangements of Type B n and D n
inferredcites →https://doi.org/10.1007/bf02772984openalex-snapshot
A combinatorial decomposition of simplicial complexes
inferredcites →https://doi.org/10.1007/bf03024696openalex-snapshot
Theorems for a price: tomorrow’s semi-rigorous mathematical culture
inferredcites →https://doi.org/10.1016/0001-8708(76)90114-6openalex-snapshot
Cohen-Macaulay quotients of polynomial rings
inferredcites →https://doi.org/10.1016/0001-8708(80)90006-7openalex-snapshot
Combinatorial methods in the theory of Cohen-Macaulay rings
inferredcites →https://doi.org/10.1016/0012-365x(90)90120-7openalex-snapshot
A fast algorithm for proving terminating hypergeometric identities
inferredcites →https://doi.org/10.1016/0012-365x(93)90574-dopenalex-snapshot
A combinatorial decomposition of acyclic simplicial complexes
inferredcites →https://doi.org/10.1016/0022-247x(90)90375-popenalex-snapshot
A 21st century proof of Dougall's hypergeometric sum identity
inferredcites →https://doi.org/10.1016/0304-3975(93)90301-9openalex-snapshot
Identities in search of identity
inferredcites →https://doi.org/10.1016/0377-0427(93)90317-5openalex-snapshot
On Zeilberger's algorithm and its q-analogue
inferredcites →https://doi.org/10.1016/0377-0427(95)00258-8openalex-snapshot
Pfaff's method (II): diverse applications
inferredcites →https://doi.org/10.1016/s0012-365x(98)00133-2openalex-snapshot
Pfaff's method (I): The Mills-Robbins-Rumsey determinant
inferredcites →https://doi.org/10.1016/s0747-7171(08)80044-2openalex-snapshot
The method of creative telescoping
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0526314-6openalex-snapshot
Balanced Cohen-Macaulay Complexes
inferredcites →https://doi.org/10.1090/s0002-9947-1980-0570784-2openalex-snapshot
Shellable and Cohen-Macaulay Partially Ordered Sets
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0690055-6openalex-snapshot
On Lexicographically Shellable Posets
inferredcites →https://doi.org/10.1090/s0002-9947-96-01534-6openalex-snapshot
Shellable Nonpure Complexes and Posets. I
inferredcites →https://doi.org/10.1090/s0894-0347-1990-1007910-7openalex-snapshot
Rational Functions Certify Combinatorial Identities
inferredcites →https://doi.org/10.1111/j.1749-6632.1985.tb14556.xopenalex-snapshot
THE NUMBER OF FACES OF SIMPLICIAL POLYTOPES AND SPHERESa
inferredcites →https://doi.org/10.1111/j.1749-6632.1989.tb22438.xopenalex-snapshot
On f ‐Vectors and Homologya
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A Hypergeometric Identity Related to Dougall's Theorem
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On Well-Poised Series, Generalized Hypergeometric Series having Parameters in Pairs, each Pair with the Same Sum
inferredcites →https://doi.org/10.1112/plms/s2-29.1.495openalex-snapshot
Transformations of Generalized Hypergeometric Series
inferredcites →https://doi.org/10.1137/0513021openalex-snapshot
Strange Evaluations of Hypergeometric Series
inferredcites →https://doi.org/10.1201/9780429493911openalex-snapshot
Elements of Algebraic Topology
inferredcites →https://doi.org/10.2140/pjm.1993.158.1openalex-snapshot
Determinant identities
inferredcites →https://doi.org/10.2969/aspm/01110187openalex-snapshot
Generalized $H$-Vectors, Intersection Cohomology of Toric Varieties, and Related Results

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Determinants in Plane Partition Enumeration
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Tensor product of algebras over a field
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Fine-Tuning Zeilberger’s Algorithm
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The Work of George Andrews: A Madison Perspective
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Simplicial join via tensor product
inferred← citeshttps://doi.org/10.1007/s11139-013-9517-8openalex-snapshot
A simple proof of Andrews’s 5 F 4 evaluation
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On the h-triangles of sequentially (Sr) simplicial complexes via algebraic shifting
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Disturbing the Dyson conjecture, in a generally GOOD way
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The q -WZ method for infinite series
inferred← citeshttps://doi.org/10.1016/j.jsc.2011.12.024openalex-snapshot
The extended Zeilberger algorithm with parameters
inferred← citeshttps://doi.org/10.1016/j.laa.2017.04.019openalex-snapshot
Subresultants in multiple roots: An extremal case
inferred← citeshttps://doi.org/10.1016/s0012-365x(98)00133-2openalex-snapshot
Pfaff's method (I): The Mills-Robbins-Rumsey determinant
inferred← citeshttps://doi.org/10.1017/s0013091506001313openalex-snapshot
Non-Terminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
inferred← citeshttps://doi.org/10.1023/a:1009784911098openalex-snapshot
A Hypergeometric Hierarchy for the Andrews Evaluations
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Notes onC-Graded Modules Over an Affine Semigroup RingK[C]
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Curing the andrews syndrome
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A Proof of a Conjecture of Knuth
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Inversion Techniques and Combinatorial Identities: Balanced Hypergeometric Series
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Symmetry between Series if Entangled by Sums
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