Add to ORKGWe show that, up to multiplication by a factor $\frac{1}{(cq;q)_{\infty}}$, the weighted words version of Capparelli's identity is a particular case of the weighted words version of Primc's identity. We prove this first using recurrences, and then bijectively. We also give finite versions of both identities
International audienceIn 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanuja...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
In 2017, Beck conjectured that the difference in the number of parts in all partitions of $n$ into o...
International audienceWe show that, up to multiplication by a factor $\frac{1}{(cq;q)_{\infty}}$, th...
International audienceUsing jagged overpartitions, we give three generalizations of a weighted word ...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
31 pages, v3: added connection with the Kac-Peterson character formula, added references, improved r...
AbstractUsing Lie theory, Stefano Capparelli conjectured an interesting Rogers–Ramanujan type partit...
In the work of Alladi et al. (J Algebra 174:636–658, 1995) the authors provided a generalization of ...
Kanade and Russell conjectured several Rogers–Ramanujan-type partition identities, some of which are...
We construct a family of partition identities which contain the following identities: Rogers-Ramanuj...
We give a new simple formula for the energy function of a level $1$ perfect crystal of type $C_n^{(1...
In this paper we give combinatorial proofs for two partition identities. The first one solves a rece...
In 1984, Bressoud and Subbarao obtained an interesting weighted partition identity for a generalized...
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related...
International audienceIn 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanuja...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
In 2017, Beck conjectured that the difference in the number of parts in all partitions of $n$ into o...
International audienceWe show that, up to multiplication by a factor $\frac{1}{(cq;q)_{\infty}}$, th...
International audienceUsing jagged overpartitions, we give three generalizations of a weighted word ...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
31 pages, v3: added connection with the Kac-Peterson character formula, added references, improved r...
AbstractUsing Lie theory, Stefano Capparelli conjectured an interesting Rogers–Ramanujan type partit...
In the work of Alladi et al. (J Algebra 174:636–658, 1995) the authors provided a generalization of ...
Kanade and Russell conjectured several Rogers–Ramanujan-type partition identities, some of which are...
We construct a family of partition identities which contain the following identities: Rogers-Ramanuj...
We give a new simple formula for the energy function of a level $1$ perfect crystal of type $C_n^{(1...
In this paper we give combinatorial proofs for two partition identities. The first one solves a rece...
In 1984, Bressoud and Subbarao obtained an interesting weighted partition identity for a generalized...
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related...
International audienceIn 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanuja...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
In 2017, Beck conjectured that the difference in the number of parts in all partitions of $n$ into o...