Add to ORKGIn this paper, we use the explicit Shimura Reciprocity Law to compute the cubic singular moduli α∗n, which are used in the constructions of new rapidly convergent series for 1/pi. We also complete a table of values for the class invariant λn initiated by S. Ramanujan on page 212 of his Lost Notebook. 1. Introduction. In his famous paper [26], S. Ramanujan offers several beautiful series rep-resentations for 1/pi, one of which is
AbstractAt scattered places of his notebooks, Ramanujan recorded over 30 values of singular moduli. ...
AbstractLet g be a principal modulus with rational Fourier coefficients for a discrete subgroup of S...
AbstractIn this article, we construct a general series for 1π. We indicate that Ramanujan's 1π-serie...
Abstract. In this paper, we establish several new P–Q mixed modular equations involving theta–functi...
In this paper, we derive new Ramanujan-type series for 1/pi which belong to “Ramanujan’s theory of e...
Abstract. In this article, we construct a general series for 1 pi. We indicate that Ramanujan’s 1 pi...
There is a class of remarkable series for 1/π of the form [formula could not be replicated] where A,...
this paper we compute the minimal polynomials of Ramanujan values 27t−12n for dis-criminants D ≡ 5 (...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
In his second notebook, Ramanujan recorded total of seven P–Q modular equations involving theta-func...
AbstractThere is a class of remarkable series for 1/π of the form −C3π=∑n=0∞A+nBC3n (6n)(3n)(n)3 whe...
Abstract. A new infinite product tn was introduced by S. Ramanujan on the last page of his third not...
AbstractUsing certain representations for Eisenstein series, we derive several of Ramanujan's series...
Let $z\in\C$ be imaginary quadratic in the upper half plane.Then the Rogers-Ramanujan continued frac...
AbstractAt scattered places of his notebooks, Ramanujan recorded over 30 values of singular moduli. ...
AbstractLet g be a principal modulus with rational Fourier coefficients for a discrete subgroup of S...
AbstractIn this article, we construct a general series for 1π. We indicate that Ramanujan's 1π-serie...
Abstract. In this paper, we establish several new P–Q mixed modular equations involving theta–functi...
In this paper, we derive new Ramanujan-type series for 1/pi which belong to “Ramanujan’s theory of e...
Abstract. In this article, we construct a general series for 1 pi. We indicate that Ramanujan’s 1 pi...
There is a class of remarkable series for 1/π of the form [formula could not be replicated] where A,...
this paper we compute the minimal polynomials of Ramanujan values 27t−12n for dis-criminants D ≡ 5 (...
On page 366 of his lost notebook 15, Ramanujan recorded a cubic contin- ued fraction and several the...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
In his second notebook, Ramanujan recorded total of seven P–Q modular equations involving theta-func...
AbstractThere is a class of remarkable series for 1/π of the form −C3π=∑n=0∞A+nBC3n (6n)(3n)(n)3 whe...
Abstract. A new infinite product tn was introduced by S. Ramanujan on the last page of his third not...
AbstractUsing certain representations for Eisenstein series, we derive several of Ramanujan's series...
Let $z\in\C$ be imaginary quadratic in the upper half plane.Then the Rogers-Ramanujan continued frac...
AbstractAt scattered places of his notebooks, Ramanujan recorded over 30 values of singular moduli. ...
AbstractLet g be a principal modulus with rational Fourier coefficients for a discrete subgroup of S...
AbstractIn this article, we construct a general series for 1π. We indicate that Ramanujan's 1π-serie...