105 search results - page 5 / 21 » Euler's Partition Theorem |
COMBINATORICS
2004
14 years 10 months ago
2004
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...
ARSCOM
2002
14 years 10 months ago
2002
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...
JCT
2007
14 years 10 months ago
2007
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...
IJCAI
2003
14 years 11 months ago
2003
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...
JCT
2002
14 years 10 months ago
2002
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...