It is shown that Ramanujan could have proved a special case of his conjecture that his tau function is multiplicative without any recourse to modularity results
ABSTRACT. For the function 12 ’ defined by (n)xn x the author derives two simple formulas. The simpl...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
The study into specific properties of the partition function has been a rich topic for number theori...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
When Ramanujan died in 1920, he left behind an incomplete, unpublished manu-script in two parts on t...
Theta functions were studied extensively by Ramanujan. This book provides a systematic development o...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
[[abstract]]Ramanujan has recorded many P-Q modular equations in his notebooks. In this paper, we es...
We study the modularity of Ramanujan’s function k(τ)=r(τ)r2(2τ)k(\tau )=r(\tau ){r}^{2}(2\tau ), whe...
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, we establish several new P-Q mixed modular equations or P-Q eta-function identities a...
112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.On page 54, Ramanujan recorde...
In his deathbed letter to G.H. Hardy, Ramanujan gave a vague definition of a mock modular function: ...
ABSTRACT. For the function 12 ’ defined by (n)xn x the author derives two simple formulas. The simpl...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
The study into specific properties of the partition function has been a rich topic for number theori...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
When Ramanujan died in 1920, he left behind an incomplete, unpublished manu-script in two parts on t...
Theta functions were studied extensively by Ramanujan. This book provides a systematic development o...
In his 'lost' notebook, S. Ramanujan introduced the parameter μ(q):= R(q)R(q 4) related to the Roge...
[[abstract]]Ramanujan has recorded many P-Q modular equations in his notebooks. In this paper, we es...
We study the modularity of Ramanujan’s function k(τ)=r(τ)r2(2τ)k(\tau )=r(\tau ){r}^{2}(2\tau ), whe...
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, we establish several new P-Q mixed modular equations or P-Q eta-function identities a...
112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.On page 54, Ramanujan recorde...
In his deathbed letter to G.H. Hardy, Ramanujan gave a vague definition of a mock modular function: ...
ABSTRACT. For the function 12 ’ defined by (n)xn x the author derives two simple formulas. The simpl...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give ...
DOI
Add to ORKG