Hilbert’s proof of the transcendence of the Ludolphian number \(\pi\). (Hilberts Beweis der Transzendenz der Ludolphschen Zahl \(\pi\).) (German. Russian summary) Zbl 1050.11001

Fritsch, R.

Differ. Geom. Mnogoobr. Figur 34, 144-148 (2003).

This article presents D. Hilbert’s simplification [Math. Ann. 43, 216–219 (1893; JFM 25.0734.01), see also Ges. Abh. Band 1, 1–4 (1932; Zbl 0004.09801 and JFM 58.0048.03)] of Lindemann’s proof of the transcendence of \(\pi\).

Reviewer: Franz Lemmermeyer (Bilkent)

MSC:

11-03	History of number theory
01A55	History of mathematics in the 19th century
11J81	Transcendence (general theory)

Keywords:

transcendence; Hilbert; Lindemann

Citations:

JFM 25.0734.01; JFM 58.0048.03; Zbl 0004.09801; Zbl 0195.00401