On the Distribution of Solutions to Diophantine Equations

DOI10.1007/978-3-319-04696-9_8zbMath1358.11089OpenAlexW204208132MaRDI QIDQ5264198

Ákos Magyar

Publication date: 24 July 2015

Published in: A Panorama of Discrepancy Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-04696-9_8

zbMATH Keywords

Fourier transformexponential sumsHardy-Littlewood method

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Trigonometric and exponential sums (general theory) (11L03) Irregularities of distribution, discrepancy (11K38)

Related Items (3)

Counting intrinsic Diophantine approximations in simple algebraic groups ⋮ Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres ⋮ A sparse equidistribution result for $(\operatorname {SL}(2,\mathbb {R})/\Gamma _0)^{n}$

Cites Work

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• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• On the distribution of lattice points on spheres and level surfaces of polynomials
• On the discrepancy of point distributions on spheres and hyperbolic spaces
• The density of integer points on homogeneous varieties
• Irregularities of distribution. IV
• Cubic forms in thirty-two variables
• Forms in many variables
• Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
• Cubic Forms in Ten Variables
• On Vinogradov's mean value theorem
• Diophantine equations and ergodic theorems

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