Euler's constant | |
---|---|
γ 0.57721...[1] | |
General information | |
Type | Unknown |
Fields | |
History | |
Discovered | 1734 |
By | Leonhard Euler |
First mention | De Progressionibus harmonicis observationes |
Named after |
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:
Here, ⌊·⌋ represents the floor function.
The numerical value of Euler's constant, to 50 decimal places, is:[1]
Is Euler's constant irrational? If so, is it transcendental?
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