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Results tagged with nt.number-theory
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user 66323
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
3
votes
Asymptotic expansion for the Bell numbers
The answer to this question is yes, the series is absolutely convergent for all large enough values of $n$, as I recently found out. It is discussed earlier on in de Bruijn's book "Asymptotic methods …
- 407
5
votes
0
answers
139
views
Complementary Bell numbers $B^{\pm}(24n+14)$
The complementary Bell numbers $B^{\pm}(n)$ are defined by the alternating sum of the Stirling numbers of the second kind, $S(n,k)$:
$$B^{\pm}(n)=\sum_{k=0}^n(-1)^kS(n,k),$$ and they count the differe …
- 407