Euler–Mascheroni constant

Also known as Euler’s constant, Euler-Mascheroni constant

mathematical constant; limiting difference between the harmonic series and the natural logarithm; equal to ca 0.577

In the Vinony graph

Within Vinony's link graph, Euler–Mascheroni constant is referenced by 210 other articles, and connects out to Leonhard Euler, Euler's number and series.

Vinony files it under Leonhard Euler, Mathematical constants and Unsolved problems in number theory.

Its subject is documented across 46 Wikipedia language editions.

Key facts

Rationality: Irrational
Symbol: γ
Decimal: 0.57721...
Continued fraction: γ = 0 + 1 1 + 1 1 + 1 2 + 1 1 + 1 2 + 1 1 + 1 4 + … {\displaystyle \gamma =0+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{2+{\cfrac {1}{1+{\cfrac {1}{2+{\cfrac {1}{1+{\cfrac {1}{4+\dots }}}}}}}}}}}}}}}

via Wikipedia infobox

Wikidata facts

Named after: Lorenzo Mascheroni

Show 8 more facts

maintained by WikiProject: WikiProject Mathematics
time of discovery or invention: 1734-00-00
numeric value: 0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495146314472498070824809605
quantity symbol (string): γ
Commons category: Euler–Mascheroni constant
Unicode character: ℇ
discoverer or inventor: Leonhard Euler
different from: Euler's number

Sources (3)

via Wikidata · CC0

~40 min read

Encyclopedic overview

The area of the blue region converges to Euler's constant.

Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log:

Excerpted from Wikipedia’s “Euler–Mascheroni constant” article, available under the CC BY-SA 4.0 licence.