scientific article; zbMATH DE number 2138523
From MaRDI portal
Publication:4652230
zbMath1125.11018MaRDI QIDQ4652230
Publication date: 25 February 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Waring's problem and variants (11P05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Congruences in many variables (11D79) Collected or selected works; reprintings or translations of classics (01A75) Diophantine inequalities (11D75) Diophantine equations in many variables (11D72) Diophantine equations (11Dxx)
Related Items (67)
Diophantine equations in primes: density of prime points on affine hypersurfaces ⋮ Numerical solution of certain exponential and non-linear Diophantine systems of equations by using a discrete particle swarm optimization algorithm ⋮ Exponential sums with multiplicative coefficients and applications ⋮ Asymptotic distribution of values of isotropic here quadratic forms at \(S\)-integral points ⋮ Forms representing forms: the definite case ⋮ Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ The asymptotic formula in Waring's problem: higher order expansions ⋮ On the number of linear spaces on hypersurfaces with a prescribed discriminant ⋮ Restricted weak-type endpoint estimates for \(k\)-spherical maximal functions ⋮ Improvements in Birch's theorem on forms in many variables ⋮ ON WARING’S PROBLEM IN SUMS OF THREE CUBES FOR SMALLER POWERS ⋮ On the solution of Waring problem with a multiplicative error term: Dimension-free estimates ⋮ Average Bateman–Horn for Kummer polynomials ⋮ On a ternary Diophantine inequality ⋮ DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE ⋮ Missing digits and good approximations ⋮ A quantitative Hasse principle for weighted quartic forms ⋮ An instance where the major and minor arc integrals meet ⋮ On pairs of eight cubes of primes and powers of 2 ⋮ On the centenary of the local-global principle in number theory ⋮ A generalization of the Montgomery-Hooley theorem ⋮ A note on the real densities of homogeneous systems in function fields ⋮ Counting in hyperbolic spikes: The Diophantine analysis of multihomogeneous diagonal equations ⋮ Unnamed Item ⋮ On the representation of quadratic forms by quadratic forms ⋮ Representation of integers by a family of cubic forms ⋮ Random Diophantine equations. I ⋮ Unnamed Item ⋮ Integral points on quadrics with prime coordinates ⋮ A note on Weyl's inequality for eighth powers ⋮ Waring's problem for Beatty sequences and a local to global principle ⋮ On a form of degree \(d\) in \(2d+1\) variables (\(d \geq 4\)) ⋮ Free rational points on smooth hypersurfaces ⋮ On Diophantine problems with mixed powers of primes ⋮ Arithmetic of higher-dimensional orbifolds and a mixed Waring problem ⋮ Cubic forms in 14 variables ⋮ Density of integer solutions to diagonal quadratic forms ⋮ Rational points of the symmetric diagonal equations ⋮ Small solutions of diagonal congruences ⋮ Stark-Wannier ladders and cubic exponential sums ⋮ On the asymptotic formula in Waring's problem with shifts ⋮ Forms in many variables and differing degrees ⋮ Maximal functions and ergodic averages related to Waring's problem ⋮ Estimate for exponential sums and its applications ⋮ Diophantine inequality involving binary forms ⋮ The Leray measure of nodal sets for random eigenfunctions on the torus ⋮ Squareful points of bounded height ⋮ On Waring's problem (elementary methods) ⋮ SARNAK'S SATURATION PROBLEM FOR COMPLETE INTERSECTIONS ⋮ The density of rational lines on hypersurfaces: a bihomogeneous perspective ⋮ Rado's criterion over squares and higher powers ⋮ PRIME SOLUTIONS TO POLYNOMIAL EQUATIONS IN MANY VARIABLES AND DIFFERING DEGREES ⋮ A chromatic version of Lagrange's four squares theorem ⋮ Diophantine approximation with mixed powers of primes ⋮ Averaging on thin sets of diagonal forms ⋮ On Waring’s problem: Three cubes and a minicube ⋮ On the interplay between additive and multiplicative largeness and its combinatorial applications ⋮ The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\) ⋮ Long-range correlations of sequences modulo 1 ⋮ Sums of cubes with shifts ⋮ The discrete spherical averages over a family of sparse sequences ⋮ A divisor problem attached to regular quadratic forms ⋮ A note on p -adic solubility for forms in many variables ⋮ Bihomogeneous forms in many variables ⋮ Representing squares by cubic forms ⋮ A sparse equidistribution result for $(\operatorname {SL}(2,\mathbb {R})/\Gamma _0)^{n}$ ⋮ The Hasse principle for systems of diagonal cubic forms
This page was built for publication: