In 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
This thesis focuses on the rank of partition functions, identities related to generating functions o...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
This thesis focuses on the rank statistic of partition functions, congruences and relating identitie...
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...
In this paper we give a full description of the inequalities that can occur between overpartition ra...
Kathrin Bringmann (Mathematisches Institut, Universität Köln, Weyertal 86-90, D-50931 Köln, Germany)...
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...
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
We study two types of crank moments and two types of rank moments for overpartitions. We show that t...
Denote by p(n) the number of partitions of n and by N(a,\ua0M;\ua0n) the number of partitions of n w...
AbstractWe study two types of crank moments and two types of rank moments for overpartitions. We sho...
AbstractWe prove two identities related to overpartition pairs. One of them gives a generalization o...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
This thesis focuses on the rank of partition functions, identities related to generating functions o...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
This thesis focuses on the rank statistic of partition functions, congruences and relating identitie...
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...
In this paper we give a full description of the inequalities that can occur between overpartition ra...
Kathrin Bringmann (Mathematisches Institut, Universität Köln, Weyertal 86-90, D-50931 Köln, Germany)...
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...
AbstractIn this paper, we obtain infinitely many non-trivial identities and inequalities between ful...
We study two types of crank moments and two types of rank moments for overpartitions. We show that t...
Denote by p(n) the number of partitions of n and by N(a,\ua0M;\ua0n) the number of partitions of n w...
AbstractWe study two types of crank moments and two types of rank moments for overpartitions. We sho...
AbstractWe prove two identities related to overpartition pairs. One of them gives a generalization o...
In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeomet...
This thesis focuses on the rank of partition functions, identities related to generating functions o...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
This thesis focuses on the rank statistic of partition functions, congruences and relating identitie...
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