Hey,

Thanks for the reply Ondřej.


> There is a good library called Arb from Fredrik, which among others
> can do Bernoulli numbers:
>
> http://fredrikj.net/arb/
> http://fredrikj.net/arb/bernoulli.html
>
> I think it is very fast, judging from Fredrik's blogposts:
>
> http://fredrikj.net/blog/2013/07/computing-100000-digits-of-zetazero1/
>
>
I will look into this library and see if I can find any benchmarks
comparing Arb with bernmm and then we can choose accordingly.

>
> Yes, that should always be the start to create a simple function which
> does the actual implementation.
>
>
Thanks for the guideline.


> Then to use these functions symbolically, one has to add classes for
> them, so that they can be used
> in symbolic expressions. This is what would make the proposal very
> useful, so it should be part of it.
>
>
I'll add those changes in the proposal shortly.

Also regarding our brief talk in IRC, there are quite a few applications of
Combinatorial Numbers[1][2]

Apart from these could you suggest some more symbolic things which could
added as a part of my proposal?

After a quick check I could find the following additions which could be
merged to my existing proposal,
adding hyperbolic functions on the similar lines of current implementation
of
Trignometric Functions,  or (a bit more ambitious) adding  basic version of
Taylor series expansion along the lines of SymPy.

How do these additions sound?

[1] http://www.math.hmc.edu/~benjamin/papers/fibinomial.pdf
[2] http://www.sbc.edu/sites/default/files/Honors/XiaotongJiang.July20_0.pdf

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