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

collaborators

Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022

Linear independence of values of the $q$ -exponential and related functions

Anup B. Dixit, Veekesh Kumar, Siddhi S. Pathak

In this paper, we establish the linear independence of values of the $q$ -analogue of the exponential function, $E_{q} (x)$ and its derivatives at specified algebraic arguments, when $…

math.NT2022

On the transcendence of growth constants associated with polynomial recursions

Veekesh Kumar

Let $P (x) := a_{d} x^{d} + \dots + a_{0} \in Q [x]$ , $a_{d} > 0$ , be a polynomial of degree $d \geq 2$ . Let $(x_{n})$ be a sequence of integers satisfying \begin{equation*} x_{n+1}=P(x_n)\mbox…

math.NT2022

Sufficient conditions for a problem of Polya

Abhishek Bharadwaj, Veekesh Kumar, Aprameyo Pal +1

Let $α$ be a non-zero algebraic number. Let $K$ be the Galois closure of $Q (α)$ with Galois group $G$ and $Q ˉ$ be the algebraic closure of $Q$ . In t…

Linear independence of values of the q-exponential and related functions

On the transcendence of growth constants associated with polynomial recursions

Sufficient conditions for a problem of Polya

Linear independence of values of the $q$ -exponential and related functions