Lattice point problems and distribution of values of quadratic forms
From MaRDI portal
Publication:1971909
DOI10.2307/121060zbMath0979.11048arXivmath/9911261OpenAlexW2156449445MaRDI QIDQ1971909
Friedrich Götze, Vidmantas Bentkus
Publication date: 14 May 2001
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9911261
ellipsoidsnumber of lattice pointsOppenheim conjectureDavenport-Lewis conjectureellipsoids with irrational quadratic forms
Related Items (28)
Cramér's formula for Heisenberg manifolds ⋮ Asymptotic lower bounds for Diophantine inequalities ⋮ Systems of diagonal Diophantine inequalities ⋮ On small values of indefinite diagonal quadratic forms at integer points in at least five variables ⋮ Systems of quadratic Diophantine inequalities ⋮ Edgeworth approximations for distributions of symmetric statistics ⋮ Quadratic estimates for the number of integer points in convex bodies ⋮ Quadratic forms and systems of forms in many variables ⋮ Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori ⋮ Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE ⋮ On the value distribution of the Epstein zeta function in the critical strip ⋮ Random Diophantine inequalities of additive type ⋮ Cramér-type moderate deviation for quadratic forms with a fast rate ⋮ On the generalized circle problem for a random lattice in large dimension ⋮ Effective estimates on indefinite ternary forms ⋮ Sign changes of the error term in Weyl’s law for Heisenberg manifolds ⋮ Values of random polynomials in shrinking targets ⋮ Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms ⋮ Quadratic diophantine inequalities ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ On simultaneous diagonal inequalities, II ⋮ On the error term in Weyl's law for the Heisenberg manifolds. II ⋮ CUBIC DIOPHANTINE INEQUALITIES INVOLVING A NORM FORM ⋮ Tercentennial anniversary of Bernoulli’s law of large numbers ⋮ Half-waves and spectral Riesz means on the 3-torus ⋮ Irrational linear forms in prime variables. ⋮ Distribution of values of quadratic forms at integral points
This page was built for publication: Lattice point problems and distribution of values of quadratic forms
