Results 81 to 90 of about 304 (165)

Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation

open access: yes, 2019
The present paper is concerned with equidistribution results for certain flows on homogeneous spaces and related questions in Diophantine approximation.
Alam, Mahbub, Ghosh, Anish
core   +2 more sources

On the global distance between two algebraic points on a curve

open access: yes, 2004
We prove diophantine inequalities involving various distances between two distinct algebraic points of an algebraic curve. These estimates may be viewed as extensions of classical Liouville's inequality.
Michel Laurent   +3 more
core   +1 more source

Diophantine inequalities for forms of odd degree

open access: yes, 1980
If F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then there are integers x1,… xs not all zero, with |F(x1,… xs ...
Schmidt, Wolfgang M
core   +1 more source

Applications of the Hardy-Littlewood method to polynomial congruences and Diophantine inequalities

open access: yes
Doctor of PhilosophyDepartment of MathematicsCraig SpencerThis manuscript revolves around two peer-reviewed results. First, we prove that for any positive integers $k$, $q$, $n$ with $n>N(k)$, integer $c$, and polynomials $f_i(x)$ of degree $k$ whose ...
Kydoniatis, Konstantinos
core  

Exceptional sets for Diophantine inequalities

open access: yes, 2012
We apply Freeman’s variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument.
Trevor D. Wooley, Scott T. Parsell
core  

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