The Mathematical Work of Wolfgang Schmidt
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Publication:3530424
DOI10.1007/978-3-211-74280-8_1zbMath1207.11002OpenAlexW80240832MaRDI QIDQ3530424
Publication date: 20 October 2008
Published in: Diophantine Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-211-74280-8_1
Biographies, obituaries, personalia, bibliographies (01A70) Research exposition (monographs, survey articles) pertaining to number theory (11-02) History of number theory (11-03)
Cites Work
- Trinomial Thue equations and inequalities.
- Thue Equations with Few Coefficients
- Eisenstein's theorem on power series expansions of algebraic functions
- On the Number of Good Rational Approximations to Algebraic Numbers
- Simultaneous approximation and algebraic independence of numbers
- Weyl Sums and Diophantine Approximation
- Small solutions of quadratic congruences and small fractional parts of quadratic forms
- The measure of the intersection of rotates of a set on the circle
- Rational Approximation to Solutions of Linear Differential Equations with Algebraic Coefficients
- Diophantine approximation in power series fields
- On the Distribution Modulo 1 of the Sequence αn2 + βn
- Small Zeros of Additive Forms in Many Variables
- Vojta's Refinement of the Subspace Theorem
- Irregularities of Distribution. VIII
- Asymptotic moments of near–neighbour distance distributions
- On continued fractions and diophantine approximation in power series fields
- A quantitative version of the Absolute Subspace Theorem
- Comparison of L1- and L∞-norms of squares of polynomials
- Heights of algebraic points lying on curves or hypersurfaces
- Quadratic Geometry of Numbers
- Diophantine equations E(x) = P(x) with E exponential, P polynomial
- The intersection of recurrence sequences
- Irregularities for distribution IX
- Normalität bezüglich Matrizen.
- Continuous Functions Defined on Product-Spaces
- Stetige Funktionen auf dem Torus.
- Ein kombinatorisches Problem von P. Erdős und A. Hajnal
- Simultaneous Approximation to a Basis of a Real Numberfield
- IRREGULARITIES OF DISTRIBUTION
- Approximation to real numbers by quadratic irrationals
- Some Diophantine equations in three variables with only finitely many solutions
- On badly approximable numbers
- Cubic Inequalities
- Irregularities of Distribution. II
- A theorem on linear forms
- A problem of Schinzel on lattice points
- Approximation to real numbers by algebraic integers
- Metrical Theorems on Fractional Parts of Sequences
- Irregularities of Distribution. V
- Dirichlet's theorem on diophantine approximation. II
- Diophantine Approximation and Hausdorff Dimension
- Diophantine approximation and certain sequences of lattices
- On Badly Approximable Numbers and Certain Games
- On a Problem of Heilbronn†
- Irregularities of distribution, VII
- Congruences, Trees, and 𝑝-adic Integers
- The Measure of the Set of Admissible Lattices
- ON THE DISTRIBUTION OF THE SEQUENCE n2 (mod 1)
- On irregularities of distribution
- Rational approximations to algebraic numbers
- Bounds for exponential sums
- On the geometry of numbers
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- Über höhere kritische Determinanten von Sternkörpern
- Eine neue Abschätzung der kritischen Determinante von Sternkörpern
- Eine Verschärfung des Satzes von Minkowski-Hlawka
- Mittelwerte über Gitter
- Mittelwerte über Gitter. II
- Flächenapproximation beim Jacobialgorithmus
- On normal numbers
- Two combinatorial theorems on arithmetic progressions
- The solubility of certain p-adic equations
- Integer points on curves and surfaces
- The mathematical work of Eduard Wirsing
- Mahler and Koksma classification of points in \(\mathbb R^n\) and \(\mathbb C^n\)
- Integer points on hypersurfaces
- Zerlegung von Dreiecken in Dreiecke mit Nebenbedingung. (Partition of triangles into subtriangles with side-conditions)
- Isotropic subspaces of rational quadratic forms
- Thue's equation and a conjecture of Siegel
- Correction to: On Thue's equation
- Zur Lagerung kongruenter Körper im Raum
- Diophantine approximation
- Simultaneous p-adic zeros of quadratic forms
- Lectures on irregularities of distribution. (Notes by T. N. Shorey)
- Diophantine problems in variables restricted to the values 0 and 1
- Diophantine inequalities for forms of odd degree
- Addendum. Diophantine problems in variables restricted to the values 0 and 1
- Small zeros of additive forms in many variables. II
- On cubic polynomials. I: Hua's estimate of exponential sums
- On cubic polynomials. II: Multiple exponential sums
- On cubic polynomials. III: Systems of p-adic equations
- On cubic polynomials. IV: Systems of rational equations
- Construction and estimation of bases in function fields
- Diophantine approximations and diophantine equations
- On the Newton polygon
- A lower bound for the number of solutions of equations over finite fields
- Simultaneous approximation to algebraic numbers by elements of a number field
- Equations over finite fields. An elementary approach
- Two questions in Diophantine approximation
- Contributions to Diophantine approximation in fields of series
- Northcott's theorem on heights. I: A general estimate
- Zeros of linear recurrence sequences
- On polynomial-exponential equations
- Equations \(a^ x=R(x,y)\)
- The distribution of sublattices of \(\mathbb{Z}^m\)
- Complementary sets of finite sets
- Rationality of exponential functions at integer arguments
- The zero multiplicity of linear recurrence sequences
- On vectors whose span contains a given linear subspace
- On Thue's equation
- Quadratic forms which have only large zeros
- Systems of homogeneous equations
- Simultaneous approximation in positive characteristic
- Linear equations in variables which lie in a multiplicative group
- Appendix to ``Approximation of viscosity solutions of elliptic partial differential equations on minimal grids, by M. Kocan: Approximation to orthogonal bases in \(\mathbb{R}^ n\) by orthogonal bases with integer coordinates
- The density of integer points on homogeneous varieties
- On the Minkowski-Hlawka theorem
- Positive line bundles on arithmetic surfaces
- Über Gitterpunkte auf gewissen Flächen
- Über simultane Approximation algebraischer Zahlen durch rationale
- On heights of algebraic subspaces and diophantine approximations
- On simultaneous approximations of two algebraic numbers by rationals
- Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
- Badly approximable systems of linear forms
- Irregularities of distribution. IV
- Irregularities of distribution. III
- Linear forms with algebraic coefficients. II
- Simultaneous approximation to algebraic numbers by rationals
- Measure theory in the geometry of numbers
- Linear forms with algebraic coefficients. I
- Norm form equations
- Approximation to algebraic numbers
- An elementary proof of the Hasse-Weil theorem for hyperelliptic curves
- Volume, surface area and the number of integer points covered by a convex set
- Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
- Metrische Sätze über simultane Approximation abhängiger Größen
- Multiplicities of Binary Recurrences
- The Number of Solutions of Norm Form Equations
- Equations au l n = bu k m Satisfied by Members of Recurrence Sequences
- Quantentheorie der Felder als Distributionstheorie
- On the Convergence of Mean Values Over Lattices
- Homogeneous forms of odd degree in a large number of variables
- An extension of a theorem of Heilbronn
- An Introduction to the Geometry of Numbers
- Approximation mit algebraischen Zahlen beschränkten Grades.
- A Metrical Theorem In Geometry of Numbers
- Bounds for Certain Sums; A Remark on a Conjecture of Mahler
- Über die Normalität von Zahlen zu verschiedenen Basen
- Small Solutions of Congruences in a Large Number of Variables
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- Northcott's theorem on heights II. The quadratic case
- Diophantine approximation by algebraic hypersurfaces and varieties
- Diophantine Approximation Properties of Certain Infinite Sets
- Small Zeros of Quadratic Forms
