Euler--Mascheroni constant ( $γ$ )

The Euler--Mascheroni constant is

γ = lim_{n \to \infty} (\sum_{k = 1}^{n} \frac{1}{k} - lo g n) .

 Ancestors (6)

 Incoming links (17)

Bessel function of the second kind
Harmonic divisor sum
Harmonic number
Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 26 / 6 / Solution
Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 79 / 1 / a / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 30 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 79 / 1 / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 82 / 3 / Solution
Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 76 / 1 / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 124 / 3 / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 336 / 3 / i / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 336 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 7E / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 336 / 1 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 150 / 1 / b / Solution
Rosser–Schoenfeld totient bound
Small-argument expansion of the exponential integral

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Euler-Mascheroni constant by

Ciro Santilli  40 Updated 2025-07-16

Convergence: math.stackexchange.com/questions/629630/simple-proof-euler-mascheroni-gamma-constant

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