Add to ORKGInternational audienceRamanujan's first letter to Hardy states an asymptotic formula for the coefficient of $x^n$ in the expansion of $(\sum_{m=-\infty}^{\infty}(-1)^mx^{m^2})^{-1}$ which can be regarded as the genesis of the circle method. In this paper, we try to give some indication of the possible intuition of Ramanujan in his discovery of the circle method. We discuss briefly the Goldbach, Waring and partition problems. At the end of the paper, there is a brief discussion on Ramanujan's $\tau$ functio
We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and 332, in decreasing order o...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
One way of building more powerful theorem provers is to use techniques from symbolic computation. So...
Abstract. In 1918, Hardy and Ramanujan wrote their landmark paper deriving the asymptotic formula fo...
Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same clas...
Using a variation on the circle method, we provide another proof of a theorem of Srinivasan in his p...
Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same clas...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
When Ramanujan’s lost notebook (Ramanujan, The lost notebook and other unpublished papers, Narosa, N...
Srinivasa Ramanujan FRS (Fellow of Royal Society)(22 December 1887 – 26 April 1920) was an Indian ma...
This centennial tribute commemorates Ramanujan the man and Ramanujan the mathematician. A brief acco...
The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of n is review...
The purpose of these notes is for me to test my understanding of the circle method as used in Waring...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and 332, in decreasing order o...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
One way of building more powerful theorem provers is to use techniques from symbolic computation. So...
Abstract. In 1918, Hardy and Ramanujan wrote their landmark paper deriving the asymptotic formula fo...
Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same clas...
Using a variation on the circle method, we provide another proof of a theorem of Srinivasan in his p...
Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same clas...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
When Ramanujan’s lost notebook (Ramanujan, The lost notebook and other unpublished papers, Narosa, N...
Srinivasa Ramanujan FRS (Fellow of Royal Society)(22 December 1887 – 26 April 1920) was an Indian ma...
This centennial tribute commemorates Ramanujan the man and Ramanujan the mathematician. A brief acco...
The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of n is review...
The purpose of these notes is for me to test my understanding of the circle method as used in Waring...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and 332, in decreasing order o...
92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanuja...
One way of building more powerful theorem provers is to use techniques from symbolic computation. So...