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Fungrim entry: 1dec0d

∣γn∣<10−4enlog⁡(log⁡(n))\left|\gamma_{n}\right| < {10}^{-4} {e}^{n \log\left(\log(n)\right)}
Assumptions:n∈Z≥5n \in \mathbb{Z}_{\ge 5}
TeX:
\left|\gamma_{n}\right| < {10}^{-4} {e}^{n \log\left(\log(n)\right)}

n \in \mathbb{Z}_{\ge 5}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
StieltjesGammaγn ⁣(a)\gamma_{n}\!\left(a\right) Stieltjes constant
Powab{a}^{b} Power
Expez{e}^{z} Exponential function
Loglog⁡(z)\log(z) Natural logarithm
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("1dec0d"),
    Formula(Less(Abs(StieltjesGamma(n)), Mul(Pow(10, -4), Exp(Mul(n, Log(Log(n))))))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(5))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC