For Ramanujan's modular identities connected with his well-known partition congruences for the moduli 5 or 7, we had given, in an earlier paper, natural and uniform proofs through the medium of modular forms. Analogous (modular) identities corresponding to the (more difficult) case of the modulus 11 are provided here, with the consequent partition congruences; the relationship with relevant results of N J Fine is also sketched
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
The study into specific properties of the partition function has been a rich topic for number theori...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
For Ramanujan's modular identities connected with his well-known partition congruences for the modul...
AbstractThe purpose of this paper is to present new proofs of modular identities (1.1) and (1.2). Th...
AbstractThe purpose of this paper is to present new proofs of modular identities (1.1) and (1.2). Th...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Ramanujan's unpublished manuscripts which came to light recently show that he had made significant a...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Let bℓ(n) denote the number of ℓ-regular partitions of n. In 2012, using the theory of modular forms...
AbstractWe show that certain modular equations and theta function identities of Ramanujan imply eleg...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
The study into specific properties of the partition function has been a rich topic for number theori...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
For Ramanujan's modular identities connected with his well-known partition congruences for the modul...
AbstractThe purpose of this paper is to present new proofs of modular identities (1.1) and (1.2). Th...
AbstractThe purpose of this paper is to present new proofs of modular identities (1.1) and (1.2). Th...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Ramanujan's unpublished manuscripts which came to light recently show that he had made significant a...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
Let bℓ(n) denote the number of ℓ-regular partitions of n. In 2012, using the theory of modular forms...
AbstractWe show that certain modular equations and theta function identities of Ramanujan imply eleg...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of ord...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
The study into specific properties of the partition function has been a rich topic for number theori...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...