Veekesh Kumar

collaborators

4 papers

math.NT2025

On the rational approximation to linear combinations of powers

Veekesh Kumar, Gorekh Prasad

For a complex number $x$ , $∥ x ∥ := min {∣ x - m ∣ : m \in Z}$ . Let $k \geq 1$ be an integer, and $K$ be a number field. Let $I^\pm_{1}, \dots, I^\pm_{k}$ be algebraic numbers with $|Î…

math.NT2025

Algebraic approximations to linear combinations of S-units

Parvathi S Nair, Veekesh Kumar, S. S. Rout

Let $Î\subset \bar{\Q}^{\times}$ be a finitely generated multiplicative group of algebraic numbers, let $I^\pm_{1}, \dots, I^\pm_{m}$ be non-zero algebraic numbers, and let $ε > 0$ …

math.NT2025

$S$ -units and period length of continued fractions of linear recursions

Veekesh Kumar, Vivek Singh, Johannes Sprang

Let $(A_{n})_{n \in Z}$ be a linear recurrence sequence with values in a real quadratic field. In this paper, we study the question whether the period length of the continued…

math.NT2025

A simultaneous approximation problem for exponentials and logarithms

Veekesh Kumar, Riccardo Tosi

Let $I^\pm_{1}, I^\pm_{2}$ be non-zero algebraic numbers such that $\frac{l o g I ^ \pm _{2}}{l o g I ^ \pm _{1}} \in / Q$ and let $I^^{2}$ be a quadratic irrational number. In this article, we prove that t…

On the rational approximation to linear combinations of powers

Algebraic approximations to linear combinations of S-units

S-units and period length of continued fractions of linear recursions

A simultaneous approximation problem for exponentials and logarithms

$S$ -units and period length of continued fractions of linear recursions