Anthony Poels

collaborators

3 papers

math.NT2024

On the linear independence of $p$ -adic polygamma values

Makoto Kawashima, Anthony PoÃ«ls

In this article, we present a new linear independence criterion for values of the $p$ -adic polygamma functions defined by J.~Diamond. As an application, we obtain the linear indepe…

math.NT2024

On approximation to a real number by algebraic numbers of bounded degree

Anthony PoÃ«ls

In his seminal 1961 paper, Wirsing studied how well a given transcendental real number $I^¾$ can be approximated by algebraic numbers $I^\pm$ of degree at most $n$ for a given positive…

math.NT2024

On uniform polynomial approximation

Anthony PoÃ«ls

Let $n$ be a positive integer and $I^¾$ a transcendental real number. We are interested in bounding from above the uniform exponent of polynomial approximation $I ¨ _{n} (I^¾)$ . D…

On the linear independence of p-adic polygamma values

On approximation to a real number by algebraic numbers of bounded degree

On uniform polynomial approximation

On the linear independence of $p$ -adic polygamma values