Euler constant
From Encyclopedia of Mathematics
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The number 
defined by
 |
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considered by L. Euler (1740). Its existence follows from the fact that the sequence
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is monotone increasing and bounded from above. The number-theoretic nature of the Euler constant has not been studied; it is not even known (1988) whether it is a rational number or not.
Comments
In fact, a relation
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holds, cf. [a1], Chapt. 22.5.
References
| [a1] | G.H. Hardy, E.M. Wright, "An introduction to the theory of numbers" , Oxford Univ. Press (1979) pp. Chapts. 5; 7; 8 |
How to Cite This Entry:
Euler constant. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_constant&oldid=17956
Euler constant. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_constant&oldid=17956
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article