Add to ORKGIn 1954, Atkin and Swinnerton-Dyer proved Dyson’s conjectures on the rank of a partition by establishing formulae for the generating functions for rank differences in arithmetic progressions. In this paper, we prove formulae for the generating functions for rank differences for overpartitions. These are in terms of modular functions and generalized Lambert series. 1
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
The Dyson rank of an integer partition is the difference between its largest part and the number of ...
In 1954, Atkin and Swinnerton-Dyer proved Dyson's conjectures on the rank of a partition by establis...
This is the third and final installment in our series of papers applying the method of Atkin and Swi...
We prove formulas for the generating functions for M_2-rank differences for partitions without repea...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
Denote by p(n) the number of partitions of n and by N(a,\ua0M;\ua0n) the number of partitions of n w...
This thesis focuses on the rank of partition functions, identities related to generating functions o...
Kathrin Bringmann (Mathematisches Institut, Universität Köln, Weyertal 86-90, D-50931 Köln, Germany)...
In this paper we give a full description of the inequalities that can occur between overpartition ra...
A partition of a non-negative integer n is any non-increasing sequence of positive integers whose su...
Abstract. In this paper, we obtain asymptotic formulas for an infinite class of rank generat-ing fun...
This thesis focuses on the rank statistic of partition functions, congruences and relating identitie...
In this paper we compute asymptotics for the coefficients of an infinite class of overpartition rank...
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
The Dyson rank of an integer partition is the difference between its largest part and the number of ...
In 1954, Atkin and Swinnerton-Dyer proved Dyson's conjectures on the rank of a partition by establis...
This is the third and final installment in our series of papers applying the method of Atkin and Swi...
We prove formulas for the generating functions for M_2-rank differences for partitions without repea...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
Denote by p(n) the number of partitions of n and by N(a,\ua0M;\ua0n) the number of partitions of n w...
This thesis focuses on the rank of partition functions, identities related to generating functions o...
Kathrin Bringmann (Mathematisches Institut, Universität Köln, Weyertal 86-90, D-50931 Köln, Germany)...
In this paper we give a full description of the inequalities that can occur between overpartition ra...
A partition of a non-negative integer n is any non-increasing sequence of positive integers whose su...
Abstract. In this paper, we obtain asymptotic formulas for an infinite class of rank generat-ing fun...
This thesis focuses on the rank statistic of partition functions, congruences and relating identitie...
In this paper we compute asymptotics for the coefficients of an infinite class of overpartition rank...
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
The Dyson rank of an integer partition is the difference between its largest part and the number of ...