Add to ORKGAbstract. In this paper, by means of the double functional equation method, we recover a difference equation on quintuple products, and then give a new proof of the Ramanujan congruence on partition function modulo 11. Mathematics Subject Classification: 11A55, 11F20, 11F2
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Abstract. In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type part...
AbstractThe discovery of some partition function congruences by Ramanujan, and subsequent research m...
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-...
2Abstract. Eighty years ago, Ramanujan conjectured and proved some striking con-gruences for the par...
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences...
FOR Ramanujan's well-known congruence n = 0, 1, 2,... (1) pertaining to the partition function ...
AbstractThe purpose of this paper is two-fold. First, a new proof of the Quintuple Product Identity ...
The study into specific properties of the partition function has been a rich topic for number theori...
Part of the Number Theory Commons This Article is brought to you for free and open access by the Mat...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
Ramanujan's unpublished manuscripts which came to light recently show that he had made significant a...
AbstractBy means of the difference equation on the modified Jacobi theta function, we review the pro...
In his work with the partition function, Ramanujan observed several congru-ences of the form p(An + ...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Abstract. In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type part...
AbstractThe discovery of some partition function congruences by Ramanujan, and subsequent research m...
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-...
2Abstract. Eighty years ago, Ramanujan conjectured and proved some striking con-gruences for the par...
AbstractUsing elementary methods, we establish several new Ramanujan type identities and congruences...
FOR Ramanujan's well-known congruence n = 0, 1, 2,... (1) pertaining to the partition function ...
AbstractThe purpose of this paper is two-fold. First, a new proof of the Quintuple Product Identity ...
The study into specific properties of the partition function has been a rich topic for number theori...
Part of the Number Theory Commons This Article is brought to you for free and open access by the Mat...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
Ramanujan's unpublished manuscripts which came to light recently show that he had made significant a...
AbstractBy means of the difference equation on the modified Jacobi theta function, we review the pro...
In his work with the partition function, Ramanujan observed several congru-ences of the form p(An + ...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Abstract. In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type part...
AbstractThe discovery of some partition function congruences by Ramanujan, and subsequent research m...