AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-mation formula, we extend the four-variable generalization of Ramanujan's reciprocity theorem due to Andrews to a six-variable one. Some novel variants of Ramanujan's reciprocity theorem and q-series identities are presented
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classica...
AbstractIn this paper, we give a bilateral form of an identity of Andrews, which is a generalization...
We give new proof of a four-variable reciprocity theorem using Heine’s transformation, Watson’s tran...
AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-matio...
In this paper we show how the three variable reciprocity theorem can be easily derived from the well...
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses ...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
AbstractIn this paper we derive a U(n) generalization of Ramanujan's 1Ψ1 summation directly from a r...
It is shown that (two-variable generalizations of) more than half of Slater\u27s list of 130 Rogers–...
The q-disease A symptom of the q-disease---that scourge since Euler's times -- is that those a...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classica...
AbstractIn this paper, we give a bilateral form of an identity of Andrews, which is a generalization...
We give new proof of a four-variable reciprocity theorem using Heine’s transformation, Watson’s tran...
AbstractBy virtue of Shukla's well-known bilateral ψ88 summation formula and Watson's transfor-matio...
In this paper we show how the three variable reciprocity theorem can be easily derived from the well...
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses ...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
AbstractIn this paper we derive a U(n) generalization of Ramanujan's 1Ψ1 summation directly from a r...
It is shown that (two-variable generalizations of) more than half of Slater\u27s list of 130 Rogers–...
The q-disease A symptom of the q-disease---that scourge since Euler's times -- is that those a...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
[[abstract]]In this paper, we obtain a new proof of Ramanujan’s receprocity theorem using an Heine’s...
A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classica...
AbstractIn this paper, we give a bilateral form of an identity of Andrews, which is a generalization...