On a quantitative refinement of the Lagrange spectrum
On a quantitative version of the Oppenheim conjecture.
On a Theorem of S. Sivasankaranarayana Pillai
On cubic Thue inequalities and a result of Mahler
On normal numbers and powers of algebraic numbers.
On resultant inequalities
On the abc conjecture.
On the period of the continued fraction for values of the square root of power sums
Palindromic powers.
Remarks on the theory of diophantine approximation
Samll remainder of a vector to suitable modulus.
Simultaneous Diophantine approximation and VIP systems
Six lonely runners.
Small values of n2 ... (mod 1).
Solutions entières de l’équation
Soit un corps de nombres. Dans ce travail nous calculons des majorants effectifs pour la taille des solutions en entiers algébriques de des équations, , où a au moins trois racines d’ordre impair, et où et a au moins deux racines d’ordre premier à . On améliore ainsi les estimations connues ([2],[9]) pour les solutions de ces équations en entiers algébriques de .
Some results on diophantine approximation
Statistics of lattice points in thin annuli for generic lattices.
S-unit points on analytic hypersurfaces
Sur la répartition des sommets d'une ligne polygonale régulière non fermée
Systems of quadratic diophantine inequalities
Let be quadratic forms with real coefficients. We prove that for any the system of inequalities has a nonzero integer solution, provided that the system has a nonsingular real solution and all forms in the real pencil generated by are irrational and have rank .