Add to ORKGThis paper considers the nature of partitions and many of the results surrounding them. Partitions lead into a discussion of Tableaux, the RSK algorithm, Euler's pentagonal number theorem and even symmet-ric polynomials. At rst these topics seem to have little to do with eac
Partition function P(n) is defined as the number of ways that a positive integer can be expressed as...
The partition function has long enchanted the minds of great mathematicians, dating from Euler\u27s ...
Abstract. We present some conjectures and open problems on partition hook lengths, which are all mot...
One of the joys of mathematical study is the discovery of unexpected relations. In this paper we exp...
A partition of a nonnegative integer n is a weakly decreasing sequence of positive integers whose su...
AbstractA Combinatorial lemma due to Zolnowsky is applied to partition theory in a new way. Several ...
In the multiplicative number theory we decompose a natural number n into prime factors and consider ...
This thesis deals with applications of experimental mathematics to a variety of fields. The first i...
We introduce the notions of Schröder shapes and Schröder tableaux, which provide an analog of the cl...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
AbstractIn his famous book “Combinatory Analysis” MacMahon introduced Partition Analysis as a comput...
Partition functions arise in combinatorics and related problems of statistical physics as they encod...
In this paper, parity and recurrence formulas for some partition functions are given. In particular,...
AbstractA simple combinatorial argument, based upon the graphic representation of partitions, leads ...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
Partition function P(n) is defined as the number of ways that a positive integer can be expressed as...
The partition function has long enchanted the minds of great mathematicians, dating from Euler\u27s ...
Abstract. We present some conjectures and open problems on partition hook lengths, which are all mot...
One of the joys of mathematical study is the discovery of unexpected relations. In this paper we exp...
A partition of a nonnegative integer n is a weakly decreasing sequence of positive integers whose su...
AbstractA Combinatorial lemma due to Zolnowsky is applied to partition theory in a new way. Several ...
In the multiplicative number theory we decompose a natural number n into prime factors and consider ...
This thesis deals with applications of experimental mathematics to a variety of fields. The first i...
We introduce the notions of Schröder shapes and Schröder tableaux, which provide an analog of the cl...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
AbstractIn his famous book “Combinatory Analysis” MacMahon introduced Partition Analysis as a comput...
Partition functions arise in combinatorics and related problems of statistical physics as they encod...
In this paper, parity and recurrence formulas for some partition functions are given. In particular,...
AbstractA simple combinatorial argument, based upon the graphic representation of partitions, leads ...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
Partition function P(n) is defined as the number of ways that a positive integer can be expressed as...
The partition function has long enchanted the minds of great mathematicians, dating from Euler\u27s ...
Abstract. We present some conjectures and open problems on partition hook lengths, which are all mot...