DM
2011
13 years 7 months ago
2011
Archibald and Knopfmacher recently considered the largest missing value in a composition of an integer and established mean and variance. Our alternative, probabilistic approach p...
JCT
2002
14 years 3 days 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...
COMBINATORICS
2000
14 years 8 days ago
2000
Short, bijective proofs of identities for multisets of `hook pairs' (arm-leg pairs) of the cells of certain diagrams are given. These hook pair identities were originally foun...
JCT
2007
14 years 10 days ago
2007
We define the notions of successive ranks and generalized Durfee squares for overpartitions. We show how these combinatorial statistics give extensions to overpartitions of combin...
JCT
2007
14 years 10 days ago
2007
We show that certain modular equations and theta function identities of Ramanujan imply elegant partition identities. Several of the identities are for t-cores. Key Words: partitio...
JCT
2008
14 years 12 days ago
2008
The number of partitions of n into parts divisible by a or b equals the number of partitions of n in which each part and each difference of two parts is expressible as a non-negati...
JCT
2008
14 years 12 days ago
2008
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
ARSCOM
2007
14 years 17 days ago
2007
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
ATAL
2010
Springer
14 years 1 months ago
2010
Springer
We study a more powerful variant of false-name manipulation in Internet auctions: an agent can submit multiple false-name bids, but then, once the allocation and payments have bee...
NORDSEC
2009
Springer
14 years 5 months ago
2009
Springer
Abstract. To have certainty about identities is crucial for secure communication in digital environments. The number of digital identities that people and organizations need to man...