Ramanujan-Soldner constant
The Ramanujan-Soldner constant is a mathematical constant that is defined as the only positive zero of the logarithm li. It is named after S. Ramanujan and Johann Georg von Soldner , but was examined by Lorenzo Mascheroni as early as 1792 .
The infinite decimal fraction begins with
There are 75,500 decimal places known (as of August 2010).
literature
- Lorenzo Mascheroni : Adnotationes ad calculum integralem Euleri / In quibus nonnulla Problemata from Eulero proposita resolvuntur / Pars altera . Petrus Galeatius, Ticini 1792 (Latin; "z = 1.45137" on p. 17 )
- Johann Georg Soldner : Théorie et tables d'une nouvelle fonction transcendante , Lindauer, Munich 1809 (French; "li. 1.4513692346 = 0" on p. 42 )
Web links
- Eric W. Weisstein : Soldner's Constant . In: MathWorld (English).
- Follow A099803 in OEIS ( continued fraction expansion of μ)
Individual evidence
- ↑ Constants and Records of Computation by Xavier Gourdon and Pascal Sebah, August 12, 2010 (English)