An effective Version of Faltings' Product Theorem.
Anwendung des Perron'schen Beweises eines Satzes von Minkowski
Billiard and diophantine approximation
Effective simultaneous approximation of complex numbers by conjugate algebraic integers
We study effectively the simultaneous approximation of n-1 different complex numbers by conjugate algebraic integers of degree n over ℤ(√-1). This is a refinement of a result of Motzkin [2] (see also [3], p. 50) who has no estimate for the remaining conjugate. If the n-1 different complex numbers lie symmetrically about the real axis, then ℤ(√-1) can be replaced by ℤ. In Section 1 we prove an effective version of a Kronecker approximation theorem; we start with an idea of H....
Inhomogeneous approximation with coprime integers and lattice orbits
Lower bounds for the number of integral polynomials with given order of discriminants
More on inhomogeneous diophantine approximation
For an irrational real number and real number we consider the inhomogeneous approximation constantvia the semi-regular negative continued fraction expansion of
Neuer Beweis eines Minkowskischen Satzes.
Notiz zu einem Satz über Diophantische Approximationen.
On a conjecture on exponential Diophantine equations
On conjectures of Minkowski and Woods for n=8
On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm
We obtain the values concerning using the algorithm by Nishioka, Shiokawa and Tamura. In application, we give the values (θ,1/2), (θ,1/a), (θ,1/√(ab(ab+4))) and so on when θ = (√(ab(ab+4)) - ab)/(2a) = [0;a,b,a,b,...].
On inhomogeneous diophantine approximation with some quasi-periodic expressions, II
We consider the values concerningwhere the continued fraction expansion of has a quasi-periodic form. In particular, we treat the cases so that each quasi-periodic form includes no constant. Furthermore, we give some general conditions satisfying .
On simultaneous inhomogeneous Diophantine approximation
On the metric theory of inhomogeneous diophantine approximations
Simultaneous Diophantine approximation and asymptotic formulae on manifolds
Sopra una questione di approssimazione diofantea non lineare.
Sur la répartition des sommets d'une ligne polygonale régulière non fermée
Sur le théorème du produit
On donne des versions raffinées effectives du théorème du produit de G. Faltings et de son principal corollaire. Le théorème montre que si l’ensemble des zéros d’indice d’un polynôme multihomogène a une composante commune avec l’ensemble des zéros d’indice alors cette composante, sous-variété d’un produit d’espaces projectifs, est elle-même un produit à condition que les rapports des degrés de soient grands en fonction de . Le corollaire le plus utile implique que, sous une condition plus...
The View-Obstruction Problem for Spheres in ...5.