Results 311 to 320 of about 863,417 (323)

Constrained Integer Partitions

2004
We consider the problem of partitioning n integers into two subsets of given cardinalities such that the discrepancy, the absolute value of the difference of their sums, is minimized. The integers are i.i.d. random variables chosen uniformly from the set {1,...,M}. We study how the typical behavior of the optimal partition depends on n,M and the bias s,
Stephan Mertens, Christian Borgs, Jennifer Chayes, Boris Pittel   +3 more
openaire   +2 more sources

On Intersecting Properties of Partitions of Integers

Combinatorics, Probability and Computing, 2005
We derive a generalization of a theorem of Raimi proving there is a partition of natural numbers with given densities of classes which meet structured translates of any other class of a partition of natural numbers.
openaire   +2 more sources

Integer Partitions with Even Parts Below Odd Parts and the Mock Theta Functions

Annals of Combinatorics, 2018
G. Andrews
semanticscholar   +1 more source

Partition of Integers

ACM Transactions on Mathematical Software, 1976
openaire   +2 more sources

The Riemann Zeta Function With Even Arguments as Sums Over Integer Partitions

The American mathematical monthly, 2017
M. Merca
semanticscholar   +1 more source

Partition theory of integers

2013
This chapter is aimed at studying generating functions in their application to the theory of integer partitions. Historically, this area marks the beginning of modern combinatorics in the form of a very large number discoveries mainly by Euler and later by many others such as Gauss, Jacobi, Sylvester and Ramanujan.
openaire   +2 more sources

Dominance order on signed integer partitions

, 2017
C. Bisi, G. Chiaselotti, T. Gentile, P. Oliverio   +3 more
semanticscholar   +1 more source

Parallel and sequential dynamics of two discrete models of signed integer partitions

Applied Mathematics and Computation, 2014
G. Chiaselotti, T. Gentile, P. Oliverio
semanticscholar   +1 more source

Mixtures and limits of symmetric random integer partitions

, 2012
M. Gasparini
semanticscholar   +1 more source

A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions

J. Math. Model. Algorithms, 2008
J. Opdyke
semanticscholar   +1 more source