Kathrin Bringmann (Mathematisches Institut, Universität Köln, Weyertal 86-90, D-50931 Köln, Germany) Ben Kane (Wiskunde Afdeling, Radboud Universiteit, Postbus 9010, 6500 GL, Nijmegen, Netherlands)postprin
This thesis focuses on the rank of partition functions, identities related to generating functions o...
This is the third and final installment in our series of papers applying the method of Atkin and Swi...
AbstractAlthough much is known about the partition function, little is known about its parity. For t...
A partition of a non-negative integer n is any non-increasing sequence of positive integers whose su...
In 1954, Atkin and Swinnerton-Dyer proved Dyson's conjectures on the rank of a partition by establis...
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
Denote by p(n) the number of partitions of n and by N(a,\ua0M;\ua0n) the number of partitions of n w...
In this paper we give a full description of the inequalities that can occur between overpartition ra...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
AbstractLet N(0, 2, n), respectively N(1, 2, n), denote the number of partitions of n whose ranks ar...
The Dyson rank of an integer partition is the difference between its largest part and the number of ...
AbstractThe ‘crank’ is a partition statistic which originally arose to give combinatorial interpreta...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
AbstractWe discuss inequalities between the rank counts N(r, m, n) and between the crank counts M(r,...
AbstractIn this paper we prove some identities, conjectured by Lewis, concerning the rank moduli 9 a...
This thesis focuses on the rank of partition functions, identities related to generating functions o...
This is the third and final installment in our series of papers applying the method of Atkin and Swi...
AbstractAlthough much is known about the partition function, little is known about its parity. For t...
A partition of a non-negative integer n is any non-increasing sequence of positive integers whose su...
In 1954, Atkin and Swinnerton-Dyer proved Dyson's conjectures on the rank of a partition by establis...
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
Denote by p(n) the number of partitions of n and by N(a,\ua0M;\ua0n) the number of partitions of n w...
In this paper we give a full description of the inequalities that can occur between overpartition ra...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
AbstractLet N(0, 2, n), respectively N(1, 2, n), denote the number of partitions of n whose ranks ar...
The Dyson rank of an integer partition is the difference between its largest part and the number of ...
AbstractThe ‘crank’ is a partition statistic which originally arose to give combinatorial interpreta...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
AbstractWe discuss inequalities between the rank counts N(r, m, n) and between the crank counts M(r,...
AbstractIn this paper we prove some identities, conjectured by Lewis, concerning the rank moduli 9 a...
This thesis focuses on the rank of partition functions, identities related to generating functions o...
This is the third and final installment in our series of papers applying the method of Atkin and Swi...
AbstractAlthough much is known about the partition function, little is known about its parity. For t...
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