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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)) …
Wolfgang's user avatar
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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? …
Wolfgang's user avatar
  • 13.4k
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: …
Wolfgang's user avatar
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