We investigate partition identities related to off-diagonal hook differences. Our results generalize previous extensions of the Rogers—Ramanujan identities. The identity of the related polynomials with constructs in statistical mechanics is discussed
A new family of partition identities is given which include as special cases two theorems of Göllnit...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
Abstract. We present a new partition identity and give a combinatorial proof of our result. This gen...
We investigate partition identities related to off-diagonal hook differences. Our results generalize...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
The concept of $\mathit{t}$-difference operator for functions of partitions is introduced to prove a...
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. We present some conjectures and open problems on partition hook lengths, which are all mot...
International audienceThe concept of t-difference operator for functions of partitions is introduced...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results ...
Abstract. Many multivariate statistics are expressed as functions of the hypergeometric function of ...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
AbstractA 1-??? correspondence is established between partitions of a positive integer n of the form...
A new family of partition identities is given which include as special cases two theorems of Göllnit...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
Abstract. We present a new partition identity and give a combinatorial proof of our result. This gen...
We investigate partition identities related to off-diagonal hook differences. Our results generalize...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
The concept of $\mathit{t}$-difference operator for functions of partitions is introduced to prove a...
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. We present some conjectures and open problems on partition hook lengths, which are all mot...
International audienceThe concept of t-difference operator for functions of partitions is introduced...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
The reciprocals of the Rogers-Ramanujan identities are considered, and it it shown that the results ...
Abstract. Many multivariate statistics are expressed as functions of the hypergeometric function of ...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
AbstractA 1-??? correspondence is established between partitions of a positive integer n of the form...
A new family of partition identities is given which include as special cases two theorems of Göllnit...
AbstractWe define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish severa...
Abstract. We present a new partition identity and give a combinatorial proof of our result. This gen...