A characterization of rational elements by Lüroth-type series expansions in the p-adic number field and in the field of Laurent series over a finite field
A characterization of rational numbers by p-adic Sylvester series expansions
A generalization of the method of global relation.
A metric theorem for restricted Diophantine approximation in positive characteristic
A note on simultaneous Diophantine approximation in positive characteristic
Algebraic independence of elements from ℂₚ over ℚₚ, II
Algorithme de Jacobi-Perron dans un corps de séries formelles
Anwendung eines abgeänderten Roth-Ridoutschen Satzes auf diophantische Gleichungen.
Approximation d'un nombre p-adique par des nombres algebriques
Approximation durch algebraische Zahlen beschränkten Grades im Körper der formalen Laurentreihen.
Approximation mit algebraischen Zahlen beschränkten Grades.
Approximations diophantiennes -adiques sur les courbes elliptiques admettant une multiplication complexe
Approximations simultanées de deux séries formelles quadratiques
Arithmetical investigations of a certain infinite product
Around the Littlewood conjecture in Diophantine approximation
The Littlewood conjecture in Diophantine approximation claims thatholds for all real numbers and , where denotes the distance to the nearest integer. Its -adic analogue, formulated by de Mathan and Teulié in 2004, asserts thatholds for every real number and every prime number , where denotes the -adic absolute value normalized by . We survey the known results on these conjectures and highlight recent developments.
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations