Add to ORKGThe purpose of these notes is for me to test my understanding of the circle method as used in Waring’s problem by giving an exposition. I have avoided proving the positivity of the singular integral and singular series as these were not techniques I needed at the time; although it could be argued that proving these facts actually constitutes the circle method, whilst the rest is merely error management
In this paper the Pythagorean theorem is developed from a constructive exercise with scissors on cir...
This chapter is a little more “classic ” than the others. It introduces calculus of vari-ations, an ...
Abstract. We give a concrete example to the known problem of Lit-tlewood by applying the stationary ...
International audienceRamanujan's first letter to Hardy states an asymptotic formula for the coeffic...
The primary purpose of this paper is to describe a new version of the Hardy-Littlewood circle method...
International audienceUsing a variation on the circle method, we provide another proof of a theorem ...
This paper contains in part [2, 3] and a sketch of the circle method, as used in these problem
arcs in the Hardy–Littlewood circle method, one resorts to bounding the number of solutions of an un...
Abstract. We investigate sums of mixed powers involving two squares, two cubes, and various higher p...
We present in this paper the Waring formula, which is used in several fields, like life-insurance or...
When Ramanujan’s lost notebook (Ramanujan, The lost notebook and other unpublished papers, Narosa, N...
Hansen W. Littlewood's one-circle problem, revisited. Expositiones Mathematicae. 2008;26(4):365-374....
A simple proof of a special case is presented in Waring’s problem on sums of 13 cubes localized clos...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
The main theme of this paper is to systematize the Hardy-Landau $\Omega$ results and the Hardy $\Ome...
In this paper the Pythagorean theorem is developed from a constructive exercise with scissors on cir...
This chapter is a little more “classic ” than the others. It introduces calculus of vari-ations, an ...
Abstract. We give a concrete example to the known problem of Lit-tlewood by applying the stationary ...
International audienceRamanujan's first letter to Hardy states an asymptotic formula for the coeffic...
The primary purpose of this paper is to describe a new version of the Hardy-Littlewood circle method...
International audienceUsing a variation on the circle method, we provide another proof of a theorem ...
This paper contains in part [2, 3] and a sketch of the circle method, as used in these problem
arcs in the Hardy–Littlewood circle method, one resorts to bounding the number of solutions of an un...
Abstract. We investigate sums of mixed powers involving two squares, two cubes, and various higher p...
We present in this paper the Waring formula, which is used in several fields, like life-insurance or...
When Ramanujan’s lost notebook (Ramanujan, The lost notebook and other unpublished papers, Narosa, N...
Hansen W. Littlewood's one-circle problem, revisited. Expositiones Mathematicae. 2008;26(4):365-374....
A simple proof of a special case is presented in Waring’s problem on sums of 13 cubes localized clos...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
The main theme of this paper is to systematize the Hardy-Landau $\Omega$ results and the Hardy $\Ome...
In this paper the Pythagorean theorem is developed from a constructive exercise with scissors on cir...
This chapter is a little more “classic ” than the others. It introduces calculus of vari-ations, an ...
Abstract. We give a concrete example to the known problem of Lit-tlewood by applying the stationary ...