International audienceUsing jagged overpartitions, we give three generalizations of a weighted word version of Capparelli's identity due to Andrews, Alladi, and Gordon and present several corollaries
AbstractIn 1974, Andrews discovered the generating function for the partitions of n considered in a ...
Corteel, Lovejoy and Mallet concluded their paper \An extension to overpartitions of the Rogers-Ram...
The topic of this thesis belongs to the theory of integer partitions, at the intersection of combina...
We show that, up to multiplication by a factor $\frac{1}{(cq;q)_{\infty}}$, the weighted words versi...
International audienceUsing jagged overpartitions, we give three generalizations of a weighted word ...
In the work of Alladi et al. (J Algebra 174:636–658, 1995) the authors provided a generalization of ...
AbstractUsing Lie theory, Stefano Capparelli conjectured an interesting Rogers–Ramanujan type partit...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
International audienceIn 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanuja...
We construct a family of partition identities which contain the following identities: Rogers-Ramanuj...
AbstractWe start with a bijective proof of Schur’s theorem due to Alladi and Gordon and describe how...
A partition of a nonnegative integer is a way of writing this number as a sum of positive integers w...
31 pages, v3: added connection with the Kac-Peterson character formula, added references, improved r...
Sang, Shi and Yee, in 2020, found overpartition analogs of Andrews' results involving parity in Roge...
The theory of integer partitions is a field of much investigative interest to mathematicians and phy...
AbstractIn 1974, Andrews discovered the generating function for the partitions of n considered in a ...
Corteel, Lovejoy and Mallet concluded their paper \An extension to overpartitions of the Rogers-Ram...
The topic of this thesis belongs to the theory of integer partitions, at the intersection of combina...
We show that, up to multiplication by a factor $\frac{1}{(cq;q)_{\infty}}$, the weighted words versi...
International audienceUsing jagged overpartitions, we give three generalizations of a weighted word ...
In the work of Alladi et al. (J Algebra 174:636–658, 1995) the authors provided a generalization of ...
AbstractUsing Lie theory, Stefano Capparelli conjectured an interesting Rogers–Ramanujan type partit...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
International audienceIn 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanuja...
We construct a family of partition identities which contain the following identities: Rogers-Ramanuj...
AbstractWe start with a bijective proof of Schur’s theorem due to Alladi and Gordon and describe how...
A partition of a nonnegative integer is a way of writing this number as a sum of positive integers w...
31 pages, v3: added connection with the Kac-Peterson character formula, added references, improved r...
Sang, Shi and Yee, in 2020, found overpartition analogs of Andrews' results involving parity in Roge...
The theory of integer partitions is a field of much investigative interest to mathematicians and phy...
AbstractIn 1974, Andrews discovered the generating function for the partitions of n considered in a ...
Corteel, Lovejoy and Mallet concluded their paper \An extension to overpartitions of the Rogers-Ram...
The topic of this thesis belongs to the theory of integer partitions, at the intersection of combina...