On Friday, March 11, 2016 at 9:15:34 PM UTC+1, Aaron Meurer wrote:
>
> SymPy gives I*pi for sqrt(-12*polylog(2,-1)). According to 
>
> http://docs.sympy.org/latest/modules/functions/special.html#sympy.functions.special.zeta_functions.polylog
>  
> <http://www.google.com/url?q=http%3A%2F%2Fdocs.sympy.org%2Flatest%2Fmodules%2Ffunctions%2Fspecial.html%23sympy.functions.special.zeta_functions.polylog&sa=D&sntz=1&usg=AFQjCNFpdquUHnMXCbozinFt7hDWQBTHMw>,
>  
>
> polylog(s, -1) is the same as dirichlet_eta(s). The definitions for 
> polylog in the sympy and mpmath docs look the same, so is SymPy wrong 
> here, or am I missing something (WolframAlpha seems to agree with 
> mpmath)? 
>

It should be polylog(s,-1) = -dirichlet_eta(s).

Fredrik

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