A New Application of the Hardy-Littlewood-Kloosterman Method
From MaRDI portal
Publication:3289932
DOI10.1112/plms/s3-12.1.425zbMath0105.03606OpenAlexW2026898821MaRDI QIDQ3289932
Publication date: 1962
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-12.1.425
Related Items (26)
A proof of the positive density conjecture for integer Apollonian circle packings ⋮ Hardy-Littlewood varieties and semisimple groups ⋮ Representations of integers by an invariant polynomial and unipotent flows ⋮ On types of solutions of the Lagrange problem ⋮ Distribution of lattice points on surfaces of second order ⋮ Unnamed Item ⋮ On small solutions of the general nonsingular quadratic Diophantine equation in five or more unknowns ⋮ Subconvexity in the inhomogeneous cubic Vinogradov system ⋮ Bounds on bilinear forms with Kloosterman sums ⋮ Square-free numbers of the form \(x^2+y^2+z^2+z+1\) and \(x^2+y^2+z+1\) ⋮ Inhomogeneous quadratic congruences ⋮ On Fourier restriction type problems on compact Lie groups ⋮ Unnamed Item ⋮ On the number of pairs of positive integers $x, y \leq H$ such that $x^2+y^2+1$, $x^2+y^2+2$ are square-free ⋮ On Lagrange's four squares theorem with almost prime variables ⋮ Rational solutions of pairs of diagonal equations, one cubic and one quadratic ⋮ Representation of natural numbers by sums of four squares of integers having a special form ⋮ On representations of integers by indefinite ternary quadratic forms. ⋮ Sums of squares of square-free integers ⋮ On the remainder term in the circle problem in an arithmetic progression ⋮ On the number of divisors of a quaternary quadratic form ⋮ Units of indefinite quaternion algebras ⋮ \(L^p\) maximal estimates for quadratic Weyl sums ⋮ On the number of pairs of positive integers \(x,y \leq H\) such that \(x^2+y^2+1\) is squarefree ⋮ On the square-free values of the polynomial \(x^2 + y^2 + z^2 + k\) ⋮ Consecutive square-free values of the type $x^2+y^2+z^2+k$, $x^2+y^2+z^2+k+1$
This page was built for publication: A New Application of the Hardy-Littlewood-Kloosterman Method