Abstract. In this paper, we study the divisibility of the function a(n) defined by n≥0 a(n)q n: = (q; q)−1 ∞ (q 2; q2)−1 ∞. In particular, we prove certain “Ramanujan type congruences ” for a(n) modulo powers of 3. 1
Let bℓ(n) denote the number of ℓ -regular cubic partition pairs of n. In this paper, we establi...
In his work with the partition function, Ramanujan observed several congru-ences of the form p(An + ...
AbstractIn this paper we present two new identities providing relations between Ramanujan's cubic co...
As a sequel to some recent works of Berndt and Baruah and Saikia we evaluate G(e(-Pirootn)) for cert...
Abstract. In a series of papers, H.-C. Chan has studied congruence properties of a certain kind of p...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
Let bℓ(n) denote the number of ℓ-regular partitions of n. In 2012, using the theory of modular forms...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
AbstractOn page 45 in his lost notebook, Ramanujan asserts that a certain q-continued fraction has t...
Let $W(n)$ denote the number of partitions of $n$ into powers of 2 such that for all $i\geq 0$, $2^{...
2Abstract. Eighty years ago, Ramanujan conjectured and proved some striking con-gruences for the par...
On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Ro...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
AbstractSeveral classical combinatorial quantities—including factorials, Bell numbers, tangent numbe...
Let bℓ(n) denote the number of ℓ -regular cubic partition pairs of n. In this paper, we establi...
In his work with the partition function, Ramanujan observed several congru-ences of the form p(An + ...
AbstractIn this paper we present two new identities providing relations between Ramanujan's cubic co...
As a sequel to some recent works of Berndt and Baruah and Saikia we evaluate G(e(-Pirootn)) for cert...
Abstract. In a series of papers, H.-C. Chan has studied congruence properties of a certain kind of p...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
Let bℓ(n) denote the number of ℓ-regular partitions of n. In 2012, using the theory of modular forms...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
AbstractOn page 45 in his lost notebook, Ramanujan asserts that a certain q-continued fraction has t...
Let $W(n)$ denote the number of partitions of $n$ into powers of 2 such that for all $i\geq 0$, $2^{...
2Abstract. Eighty years ago, Ramanujan conjectured and proved some striking con-gruences for the par...
On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Ro...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
AbstractSeveral classical combinatorial quantities—including factorials, Bell numbers, tangent numbe...
Let bℓ(n) denote the number of ℓ -regular cubic partition pairs of n. In this paper, we establi...
In his work with the partition function, Ramanujan observed several congru-ences of the form p(An + ...
AbstractIn this paper we present two new identities providing relations between Ramanujan's cubic co...