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 Apr 6 awarded Popular Question Mar 30 awarded Popular Question Mar 5 awarded Yearling Jan 3 revised Mathematica 9 and later behavior with derivative of a sum edited title Nov 29 comment How can I plot this Hurwitz Zeta-based function at negative arguments? @eldo try pw[-3, -3], pw[-3, 2], pw[-3, 1]. They all produce good results. Nov 29 comment How can I plot this Hurwitz Zeta-based function at negative arguments? @eldo numerically it evaluates well. Nov 29 comment How can I plot this Hurwitz Zeta-based function at negative arguments? @eldo I used the both of your pieces of advice, added PlotPoints -> Automatic and removed ClippingStyle -> None and still it cannot plot anything at b<-1 Nov 29 asked How can I plot this Hurwitz Zeta-based function at negative arguments? Aug 29 awarded Nice Question Aug 29 comment How to deduce the Ramanujan's summation of this series? @Guess who it does not resolve symbolically. Aug 29 asked How to deduce the Ramanujan's summation of this series? Jul 10 comment Version 10 of Mathematica in Windows XP @dbanet maybe Mathematica needs some architecture extensions like SSE to work on your CPU which are absent? Jun 12 awarded Nice Question May 7 comment How to implement symbolic Ramanujan's summation in Mathematica? I think your method is not suitable for anything other the polynomials because in that case the sum becomes finite. Mathematica cannot find the infinite sums :-(. May 7 comment How to implement symbolic Ramanujan's summation in Mathematica? One can use the filliwing formula alternatively: $$\sum_{k=1}^{\infty}\frac{\Delta^{k-1}[f](1)}{k!}(-1)_k$$ where $$(x)_k=\frac{\Gamma(x+1)}{\Gamma(x-k+1)}$$ is the Porchhammer symbol (failing factorial). AFAIK it is implemented in Mathematica, otherwise one should employ limits because the both numerfator and denomenator have poles at the points. May 7 comment How to implement symbolic Ramanujan's summation in Mathematica? @xzczd this is correct, my comment is somewhat confusing. The ramanujan's sum of g(x)=1 is indeed -0.5. In the comment I meant that I want the Ramanujan's sum of the difference delta. I want a similar formula but giving symbolic results. May 7 comment How to implement symbolic Ramanujan's summation in Mathematica? @xzczd difference delta, f(x+1)-f(x). May 7 awarded Promoter Apr 25 comment How to invert the default order of polynomial? @Oleksandr R. maybe, actually! Need more look at it. Apr 25 comment How to invert the default order of polynomial? @kguler there can be many parameters (as many as the degree of the polynomia)l. It is easier to re-type all manually than list the parameters in this option.