AbstractThe purpose of this paper is two-fold. First, a new proof of the Quintuple Product Identity is given. Next, the method of this proof is used to establish certain shifted partition identities extending earlier results that the author had obtained by analyzing the Göllnitz-Gordon and Rogers-Ramanujan identities
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. In 1929, in the course of proving certain results stated by Ramanujan concerning his conti...
We propose a method to construct a variety of partition identities at once. The main application is ...
Abstract. In this paper, by means of the double functional equation method, we recover a difference ...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
A q-difference equation on eight shifted factorials of infinite order will be established. As conseq...
A q-difference equation on eight shifted factorials of infinite order will be established. As conse-...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
Corteel, Lovejoy and Mallet concluded their paper \An extension to overpartitions of the Rogers-Ram...
Abstract. This paper considers a variety of parity questions connected with classical partition iden...
This dissertation involves two topics. The first is on the theory of partitions, which is discussed ...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
A new family of partition identities is given which include as special cases two theorems of Göllnit...
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. In 1929, in the course of proving certain results stated by Ramanujan concerning his conti...
We propose a method to construct a variety of partition identities at once. The main application is ...
Abstract. In this paper, by means of the double functional equation method, we recover a difference ...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
A q-difference equation on eight shifted factorials of infinite order will be established. As conseq...
A q-difference equation on eight shifted factorials of infinite order will be established. As conse-...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
Corteel, Lovejoy and Mallet concluded their paper \An extension to overpartitions of the Rogers-Ram...
Abstract. This paper considers a variety of parity questions connected with classical partition iden...
This dissertation involves two topics. The first is on the theory of partitions, which is discussed ...
AbstractWe evaluate several integrals involving generating functions of continuous q-Hermite polynom...
AbstractFori=1, 2, 3, 4, letQi(n) denote the number of partitions of n into distinct parts ≢ (mod4)....
AbstractIn this paper a partition theorem is proved which contains the Rogers-Ramanujan identities a...
A new family of partition identities is given which include as special cases two theorems of Göllnit...
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number o...
Abstract. In 1929, in the course of proving certain results stated by Ramanujan concerning his conti...
We propose a method to construct a variety of partition identities at once. The main application is ...
DOI
Add to ORKG