3 papers
math.NT2024
Asymptotic expansions of truncated hypergeometric series for
Lorenz Milla, Chao-Ping Chen
In this paper, we consider rational hypergeometric series of the form \[\frac{p}π= \sum_{k=0}^\infty u_k\quad\text{with}\quad u_k=\frac{\left(\frac{1}{2}\right)_k \left(q\right)_k…
math.HO2020
The Transcendence of and the Squaring of the Circle -- Die Transzendenz von und die Quadratur des Kreises
Lorenz Milla
In this paper we prove the transcendence of using Hilbert's method. We also prove that all points constructible with compass and straightedge have algebraic coordinates. Thus w…
math.NT2018
A detailed proof of the Chudnovsky formula with means of basic complex analysis -- Ein ausführlicher Beweis der Chudnovsky-Formel mit elementarer Funktionentheorie
Lorenz Milla
In this paper we give another proof of the Chudnovsky formula for calculating - a proof in detail with means of basic complex analysis. With the exception of the tenth chapter,…