Results 81 to 90 of about 304 (165)
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
Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]
Minelli P, Sourmelidis A, Technau M.
europepmc +1 more source
On the global distance between two algebraic points on a curve
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
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]
Ddamulira M, Luca F.
europepmc +1 more source
Diophantine inequalities for forms of odd degree
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
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Applications of the Hardy-Littlewood method to polynomial congruences and Diophantine inequalities
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
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
Unifying Aspects of Generalized Calculus. [PDF]
Czachor M.
europepmc +1 more source
On a problem of Pillai with Fibonacci numbers and powers of 3. [PDF]
Ddamulira M.
europepmc +1 more source
Unlikely intersections on the p-adic formal ball. [PDF]
Serban V.
europepmc +1 more source

