AbstractWith two elementary trigonometric sums and the Jacobi theta function θ1, we provide a new proof of two Ramanujan's identities for the Rogers–Ramanujan continued fraction in his lost notebook. We further derive a new Eisenstein series identity associated with the Rogers–Ramanujan continued fraction
In this paper we will use one well-known modular equation of seventh order, one theta function ident...
We employ a new constructive approach to study modular forms of level five by evaluating the Weierst...
We employ a new constructive approach to study modular forms of level five by evaluating the Weierst...
Eisenstein recorded twenty elegant continued fraction expansion in his papers. In this paper, we est...
AbstractA survey of many theorems on the Rogers–Ramanujan continued fraction is provided. Emphasis i...
this paper we establish four values for R(q) stated on page 311 in Ramanujan's first notebook, ...
In the first part of this thesis, we prove Ramanujan's formulas for the coefficients in the power se...
. In his first two letters to G. H. Hardy and in his notebooks, Ramanujan recorded many theorems abo...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Ro...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In a manuscript of Ramanujan, ...
In this paper we will use one well-known modular equation of seventh order, one theta function ident...
In this article, we use the theory of elliptic functions to construct theta function identities whic...
115 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.Finally, a new proof of Winqu...
115 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.Finally, a new proof of Winqu...
In this paper we will use one well-known modular equation of seventh order, one theta function ident...
We employ a new constructive approach to study modular forms of level five by evaluating the Weierst...
We employ a new constructive approach to study modular forms of level five by evaluating the Weierst...
Eisenstein recorded twenty elegant continued fraction expansion in his papers. In this paper, we est...
AbstractA survey of many theorems on the Rogers–Ramanujan continued fraction is provided. Emphasis i...
this paper we establish four values for R(q) stated on page 311 in Ramanujan's first notebook, ...
In the first part of this thesis, we prove Ramanujan's formulas for the coefficients in the power se...
. In his first two letters to G. H. Hardy and in his notebooks, Ramanujan recorded many theorems abo...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Ro...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In a manuscript of Ramanujan, ...
In this paper we will use one well-known modular equation of seventh order, one theta function ident...
In this article, we use the theory of elliptic functions to construct theta function identities whic...
115 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.Finally, a new proof of Winqu...
115 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.Finally, a new proof of Winqu...
In this paper we will use one well-known modular equation of seventh order, one theta function ident...
We employ a new constructive approach to study modular forms of level five by evaluating the Weierst...
We employ a new constructive approach to study modular forms of level five by evaluating the Weierst...
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