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Nov
2
revised Why does $1+2+3+\cdots = -\frac{1}{12}$?
added 28 characters in body
Nov
2
revised Why does $1+2+3+\cdots = -\frac{1}{12}$?
added 83 characters in body
Oct
29
awarded  Nice Answer
Oct
25
comment Where in the theory of higher dimensions do Bernoulli numbers arise?
Does not it seem not to be about metric spaces?
Oct
25
asked Where in the theory of higher dimensions do Bernoulli numbers arise?
Oct
16
comment Is Aleph 0 a natural number?
@Will R I would say number is a common property of sets of various objects whose elements can be put in bijectional relations. Of course this would not work for non-integer numbers though
Oct
16
answered Is there a metric in which 1+2+3+4+… converges to -1/12?
Oct
14
awarded  Yearling
Sep
29
awarded  Peer Pressure
Sep
12
awarded  Announcer
Sep
10
revised Why does $e$ have multiple definitions?
not related to Euler's constant
Sep
10
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
This is the reason why I needed this series, by the way: mathoverflow.net/questions/216252/…
Sep
9
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
Ah I see, thanks!
Sep
9
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
By the way, why you have $\frac{1}{e^t-1}-\frac{1}{t}$ rather than simply $\frac{1}{e^t-1}$ in the first identity? Generating function is $\frac{1}{e^t-1}$.
Sep
9
accepted How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
Sep
9
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
This well can be the case!
Sep
9
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
@tired no, I used other considerations (non-rigorous).
Sep
9
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
@tired I suspect the answer is $-2\gamma$. Need to be verified
Sep
9
comment How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
@tired I do not know how to use it to obtain closed form. I do not need a numerical result...
Sep
9
revised How to sum up this series? $\sum_{n=1}^\infty\frac{(-1)^{n-1} B_n}{n}$
added 175 characters in body