Lower Bound for a Diophantine Approximation Function.
Mordell's conjecture over function fields.
Notes on a generalized -conjecture over function fields
On a conjecture of Morgan Ward, I
On a conjecture of Morgan Ward, II
On a conjecture of Morgan Ward, III
On Cubic Polynomials III. Systems of p-adic Equations.
On equation in S-units and the Thue-Mahler equation.
On -adic zeros of systems of diagonal forms restricted by a congruence condition
This paper is concerned with non-trivial solvability in -adic integers of systems of additive forms. Assuming that the congruence equation has a solution with we have proved that any system of additive forms of degree with at least variables, has always non-trivial -adic solutions, provided . The assumption of the solubility of the above congruence equation is guaranteed, for example, if .
On simultaneous diagonal equations and inequalities
On the congruence
On the quasi-periodic -adic Ruban continued fractions
We study a family of quasi periodic -adic Ruban continued fractions in the -adic field and we give a criterion of a quadratic or transcendental -adic number which based on the -adic version of the subspace theorem due to Schlickewei.
On zeros of diagonal forms over p-adic fields
Pairs of additive forms and Artin's conjecture
Pairs of cubic forms in many variables
Sets with even partition functions and 2-adic integers. II.
Simultaneous p-adic Zeros of Quadratic Forms.
Simultaneous quadratic equations II
Solvability of 𝔭-adic diagonal equations
Some estimates for diagonal equations over p-adic fields