Add to ORKGAbstract. We offer a new family of lacunary partition functions by using in-teresting properties of indefinite quadratic forms. In particular, we obtain a family of colored partition functions by paraphrasing some old and new q-series identities. 1
H. Gollnitz is famous for his discovery of several partition identities of the Rogers-Ramanujan-Schu...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
Recently, Andrews, Hirschhorn and Sellers have proven congruences modulo 3 for four types of partit...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...
A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's se...
Construction of generating functions for partitions, especially construction evidently positive seri...
AbstractWe use q-functional equations to prove some (n + t)-color partition identities. Generating f...
We give an alternative construction for a family of partition generating functions due to Kanade and...
We use sums over integer compositions analogous to generating functions in partition theory, to expr...
Andrews [Generalized Frobenius partitions. Memoirs of the American Math. Soc., 301:1{44, 1984] defin...
AbstractIn this work, we give combinatorial proofs for generating functions of two problems, i.e., f...
A new family of partition identities is given which include as special cases two theorems of Göllnit...
AbstractIn his memoir in 1984, George E. Andrews introduces many general classes of Frobenius partit...
A nonrecursive, finite, exact integer partition function \(p(n)\) is presented in terms of elementar...
Abstract. This paper considers a variety of parity questions connected with classical partition iden...
H. Gollnitz is famous for his discovery of several partition identities of the Rogers-Ramanujan-Schu...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
Recently, Andrews, Hirschhorn and Sellers have proven congruences modulo 3 for four types of partit...
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory...
A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's se...
Construction of generating functions for partitions, especially construction evidently positive seri...
AbstractWe use q-functional equations to prove some (n + t)-color partition identities. Generating f...
We give an alternative construction for a family of partition generating functions due to Kanade and...
We use sums over integer compositions analogous to generating functions in partition theory, to expr...
Andrews [Generalized Frobenius partitions. Memoirs of the American Math. Soc., 301:1{44, 1984] defin...
AbstractIn this work, we give combinatorial proofs for generating functions of two problems, i.e., f...
A new family of partition identities is given which include as special cases two theorems of Göllnit...
AbstractIn his memoir in 1984, George E. Andrews introduces many general classes of Frobenius partit...
A nonrecursive, finite, exact integer partition function \(p(n)\) is presented in terms of elementar...
Abstract. This paper considers a variety of parity questions connected with classical partition iden...
H. Gollnitz is famous for his discovery of several partition identities of the Rogers-Ramanujan-Schu...
National audienceWe prove an identity about partitions, previously conjectured in the study of shift...
Recently, Andrews, Hirschhorn and Sellers have proven congruences modulo 3 for four types of partit...