3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
Asymptotic expansions for the truncation error in Ramanujan-type series
Lorenz Milla
Many of the fastest known algorithms to compute involve generalized hypergeometric series, such as the Ramanujan-Sato series. In this paper, we investigate the rates of converg…
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…
Easy Proof of Three Recursive -Algorithms -- Einfacher Beweis dreier rekursiver -Algorithmen
Lorenz Milla
This paper consists of three independent parts: First we use only elementary algebra to prove that the quartic algorithm of the Borwein brothers has exactly the same output as the…
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,…
Smallest Squared Squares
Lorenz Milla
In this paper we have a look at squared squares with small integer sidelengths, where the only restriction is that any two subsquares of the same size are not allowed to share a fu…