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COMBINATORICS
2004
48views more  COMBINATORICS 2004»
15 years 3 days ago
Partition Identities I: Sandwich Theorems and Logical 0-1 Laws
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
Jason P. Bell, Stanley Burris
ARSCOM
2002
69views more  ARSCOM 2002»
15 years 4 days ago
On Deuber's partition theorem for (m, p, c)-sets
In 1973, Deuber published his famous proof of Rado's conjecture regarding partition regular sets. In his proof, he invented structures called (m, p, c)-sets and gave a partit...
David S. Gunderson
69
Voted
JCT
2007
70views more  JCT 2007»
15 years 4 days ago
Integrals, partitions and MacMahon's Theorem
In two previous papers, the study of partitions with short sequences has been developed both for its intrinsic interest and for a variety of applications. The object of this paper...
George Andrews, Henrik Eriksson, Fedor Petrov, Dan...
IJCAI
2003
15 years 1 months ago
Practical Partition-Based Theorem Proving for Large Knowledge Bases
Query answering over commonsense knowledge bases typically employs a first-order logic theorem prover. While first-order inference is intractable in general, provers can often b...
Bill MacCartney, Sheila A. McIlraith, Eyal Amir, T...
86
Voted
JCT
2002
54views more  JCT 2002»
14 years 12 months ago
Partition Identities and a Theorem of Zagier
In partition theory and q-series, one often seeks identities between series and infinite products. Using a recent result of Zagier, we obtain such identities for every positive int...
Jayce Getz, Karl Mahlburg