Veekesh Kumar

activity

20182025

most citedOn inhomogeneous extension of Thue-Roth's type inequality with moving targets

2 citations · 5 across the 11 of their papers we have counts for

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4 papers · 1 filter

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 $α_{1}, \dots, α_{k}$ be algebraic numbers with $|α_i…

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

Algebraic approximations to linear combinations of S-units

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

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

math.NT2025

A simultaneous approximation problem for exponentials and logarithms

Veekesh Kumar, Riccardo Tosi

Let $α_{1}, α_{2}$ be non-zero algebraic numbers such that $\frac{l o g α _{2}}{l o g α _{1}} \in / Q$ and let $β$ be a quadratic irrational number. In this article, we prove that the va…

On the rational approximation to linear combinations of powers

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

Algebraic approximations to linear combinations of S-units

A simultaneous approximation problem for exponentials and logarithms

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