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Asymptotic behavior of functions, asymptotic series and related topics
30
votes
2
answers
3k
views
A new way of approaching the pole of the Riemann zeta function - and a new conjectured formula
On the Wolfram page about the Euler-Mascheroni Constant $\gamma $, the following amazing limit is given without proof (referring to "personal communication"):
$$\lim_{z\to\infty}\left[\zeta(\zeta(z)) …
4
votes
0
answers
150
views
Dividing a finite arithmetic progression into two sets of same sum: always the same asymptot...
We may express the asymptotics also in terms of $n:=md-r$ instead of $m$. … Any insights about the asymptotics? And what about the constants? …
7
votes
0
answers
206
views
Has this self-similar sequence the ratio $(\sqrt2+1)^2$?
This is inspired by a math.SE question, where an infinite sequence of pairwise distinct natural numbers $a_1=1, a_2, a_3, ...$ has been defined as follows:
$a_n$ is the smallest number such that $s_n: …