On simultaneous inhomogeneous Diophantine approximation
On simultaneous rational approximation to a real number and its integral powers
For a positive integer and a real number , let denote the supremum of the real numbers such that there are arbitrarily large positive integers such that are all less than . Here, denotes the distance to the nearest integer. We study the set of values taken by the function and, more generally, we are concerned with the joint spectrum of . We further address several open problems.
On simultaneous rational approximations to a real number, its square, and its cube
On singular and supersingular invariants of Drinfeld modules
On singular moduli.
On singular moduli for rank 2 Drinfeld modules
On S-integral solutions of the Catalan equation
On small eigenvalues of the Laplacian for ...(q). .
On smooth integers in short intervals under the Riemann Hypothesis
On šnirel'man's constant
On Šnirelman's constant under the Riemann hypothesis
On solutions of polynomial congruences
On solutions of the equation Xⁿ + Yⁿ = BZⁿ with prime n|BZ
On Solvability by Radicals of Field Extensions.
On Solvability by Radicals of Finite Fields.
On Solvable Number Fields.
On Some Arithmetic Problems Related to the Hodge Cycles on the Fermat Varieties.
On some arithmetic properties of polynomial expressions involving Stirling numbers of the second kind
On some arithmetical properties of Lucas and Lehmer numbers
On some arithmetical properties of middle binomial coefficients