5 papers · 1 filter
On the rational approximation to linear combinations of powers
Veekesh Kumar, Gorekh Prasad
For a complex number , . Let be an integer, and be a number field. Let be algebraic numbers with $|Î…
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 be non-zero algebraic numbers, and let …
-units and period length of continued fractions of linear recursions
Veekesh Kumar, Vivek Singh, Johannes Sprang
Let 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…
A simultaneous approximation problem for exponentials and logarithms
Veekesh Kumar, Riccardo Tosi
Let be non-zero algebraic numbers such that and let be a quadratic irrational number. In this article, we prove that t…
On Algebraic Conditions for the Non-Vanishing of Linear Forms in Jacobi Theta-Constants
Carsten Elsner, Veekesh Kumar
Elsner, Luca and Tachiya proved in 2019 that the values of the Jacobi-theta constants and are algebraically independent over for distinct integ…