AbstractIn this paper we will start with one identity of Ramanujan about Lambert series related to modular relations of degree 7 to give some completely new proofs of several important theta functions identities proved by Berndt and Zhang [1994, J. Number Theory48, 224–242] via the theory of modular forms. This study also yields a simple proof of one important identity of Ramanujan connected with partitions modulo 7. We also derive some new theta-function identities
For Ramanujan's modular identities connected with his well-known partition congruences for the modul...
In this paper, first we establish some new relations for ratios of Ramanujan's theta functions. We a...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
In this paper, we give an alternative proof of a Ramanujan's modular equation of degree 7 by employi...
In this paper, we give an alternative proof of a Ramanujan's modular equation of degree 7 by employi...
AbstractIn the unorganized pages of his second notebook, Ramanujan offers two new theta-function ide...
In this paper the author proves a general theta functions identity by using the theory of elliptic f...
Previously, we proved an addition formula for the Jacobi theta function, which allows us to recover ...
Previously, we proved an addition formula for the Jacobi theta function, which allows us to recover ...
In this thesis, we prove several identities involving Ramanujan's general theta function. In Chapter...
AbstractIn this paper we will start with one identity of Ramanujan about Lambert series related to m...
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...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
For Ramanujan's modular identities connected with his well-known partition congruences for the modul...
In this paper, first we establish some new relations for ratios of Ramanujan's theta functions. We a...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
In this paper, we give an alternative proof of a Ramanujan's modular equation of degree 7 by employi...
In this paper, we give an alternative proof of a Ramanujan's modular equation of degree 7 by employi...
AbstractIn the unorganized pages of his second notebook, Ramanujan offers two new theta-function ide...
In this paper the author proves a general theta functions identity by using the theory of elliptic f...
Previously, we proved an addition formula for the Jacobi theta function, which allows us to recover ...
Previously, we proved an addition formula for the Jacobi theta function, which allows us to recover ...
In this thesis, we prove several identities involving Ramanujan's general theta function. In Chapter...
AbstractIn this paper we will start with one identity of Ramanujan about Lambert series related to m...
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...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...
For Ramanujan's modular identities connected with his well-known partition congruences for the modul...
In this paper, first we establish some new relations for ratios of Ramanujan's theta functions. We a...
In this paper, we derive certain identities for ratios of theta-functions. As applications of the id...