Meanings
- mathematicsA 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.
The run for #92;gamma, the Euler-Mascheroni constant, for instance, yielded 583 approximations with six decimals or more!
1988, Mathematics Magazine, Volume 61, Mathematical Association of America, page 822 more examples
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.
2003, János Surányi, Paul Erdős, translated by Barry Guiduli, Topics in the Theory of Numbers, Springer, page 100The 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[…].
2013, Ovidiu Furdui, Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis, Springer, page 252Synonyms: Euler's constant, gamma
Synonyms & antonyms
proper nounA 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.
Origin
Named after mathematicians Leonhard Euler (1707—1783) and Lorenzo Mascheroni (1750—1800). The origin of the notation γ is unclear: it may have been first used by either Euler or Mascheroni. It possibly reflects the constant's connection to the gamma function.
Full word history & related roots →Translations
German Euler-Mascheroni-Konstante, Eulersche Konstante
- Euler-Mascheroni-Konstantemathematical constant
- Eulersche Konstantemathematical constant
Italian costante di Eulero-Mascheroni
- costante di Eulero-Mascheronimathematical constant
Cite this entry
Euler-Mascheroni constant. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Euler-Mascheroni%20constant
“Euler-Mascheroni constant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euler-Mascheroni%20constant. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “Euler-Mascheroni constant,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Euler-Mascheroni%20constant.
Source: Euler-Mascheroni constant on Wiktionary, CC BY-SA 4.0.