Meaning of Euler-Mascheroni constant | Babel Free

Definitions

A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566.

Equivalents

Examples

“The run for #92;gamma, the Euler-Mascheroni constant, for instance, yielded 583 approximations with six decimals or more!”

“In the previous section we mentioned that we do no know, for instance, whether the Euler–Mascheroni constant or the numbers #92;zeta#95;#123;2k#43;1#125; for k#92;ge 2 are rational.”

“The Euler–Mascheroni constant, #92;gamma, considered to be the third important mathematical constant next to #92;pi and e, has appeared in a variety of mathematical formulae involving series, products and integrals[…].”

CEFR level