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

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 \(\pi\).


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