DM

2011

13 years 5 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

13 years 9 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...

COMBINATORICS

2000

13 years 9 months 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

13 years 10 months 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

13 years 10 months 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

13 years 10 months 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

13 years 10 months 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

13 years 10 months 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

13 years 11 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 2 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...