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 Mar15 asked What special role plays the function $\pi^{\frac x\pi}$ in analysis? Mar15 comment What function satisfies the following equation? What if additional condition is imposed, that isfunction $f(x+\pi/4)e^{-x}\Gamma(x/\pi +1/4)$ is even? Mar10 comment What function satisfies the following equation? This is Great!!! Thank you very much! Mar10 accepted What function satisfies the following equation? Mar10 asked What function satisfies the following equation? Mar10 comment What exactly *is* the Riemann zeta function? The latest identity is wrong :-( Mar8 comment Can such function exist? What about the second part of the question? Mar8 comment Can such function exist? What about the second part? Mar8 asked Can such function exist? Mar5 comment What are the negative-dimentional n-sphere and n-cube? @MvG if distance is defined on a fractal (for instance, on Serpinsky triangle en.wikipedia.org/wiki/Hausdorff_dimension#mediaviewer/… ), then all points equally distant from a given one form a sphere. Mar5 comment What are the negative-dimentional n-sphere and n-cube? @Yuval Filmus what non-integer positive dimentional space and n-sphere is clear: a fractal. But what about negative? Mar5 asked What are the negative-dimentional n-sphere and n-cube? Mar4 revised Explaining $\cos^\infty$ another form Mar4 suggested approved edit on Explaining $\cos^\infty$ Mar4 comment Solving $\cos x=x$ math.stackexchange.com/questions/227317/explaining-cos-infty/… Mar4 comment What is the solution of cos(x)=x? math.stackexchange.com/questions/227317/explaining-cos-infty/… Mar4 comment Explaining $\cos^\infty$ @GDumphart you can check it. If you eliminate arctan and tan, the result changes, becomes wrong. It you know other ways to simplify it, you are welcome. Mar4 answered Explaining $\cos^\infty$ Mar4 comment Solving $2x - \sin 2x = \pi/2$ for $0 < x < \pi/2$ Why the index of the Bessel functions is not equal to the argument in your expression? Mar4 comment Solving $2x - \sin 2x = \pi/2$ for $0 < x < \pi/2$ By the way, the formula $$\sum_{n=1}^\infty \frac{2J_n(n)}{n} \sin(\pi n/2)$$ works for Dottier number.