On twisted exponential sums.
On twisted Galois-Gauß sums and canonical factorizations.
On two classes of polynomials in number-theory
On two conjectures of Kátai
On two definitions of the integral of a p-adic function
On two notions of complexity of algebraic numbers
On two problems of E. M. Robinson about sums of roots of unity
On two problems of Mordell about exponential sums
On two supercongruences involving Almkvist-Zudilin sequences
We prove two supercongruences involving Almkvist-Zudilin sequences, which were originally conjectured by Z.-H. Sun (2020).
On two theorems of Gelfond and some of their applications
On two theorems of Kopetzky and Schnitzer on the approximation of continued fractions.
On two types of complete discrete valuation fields
On two-parametric family of quartic Thue equations
We show that for all integers and there are no non-trivial solutions of Thue equationsatisfying the additional condition .
On two-point configurations in a random set.
On two-primary algebraic K-theory of quadratic number rings with focus on K₂
On type numbers of split orders of definite quaternion algebras.
On Uniform Distribution of Double Sequences.
On uniform distribution of sequences
On uniform lower bound of the Galois images associated to elliptic curves
Let be a prime and let be a number field. Let be the Galois representation given by the Galois action on the -adic Tate module of an elliptic curve over . Serre showed that the image of is open if has no complex multiplication. For an elliptic curve over whose -invariant does not appear in an exceptional finite set (which is non-explicit however), we give an explicit uniform lower bound of the size of the image of .
On unit equations and decompsable form equations.