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 1d awarded Enlightened 1d awarded Nice Answer Mar 2 revised Double contour integral in terms of real integrals added 103 characters in body Mar 1 awarded Quorum Mar 1 revised Double contour integral in terms of real integrals added 295 characters in body Feb 23 asked Double contour integral in terms of real integrals Nov 20 comment Differentiating a period of an elliptic curve under the integral sign @peterag I am happy with it. I just have not rewarded his answer, yet. You may and I will reward your answer. Thanks Nov 20 revised How can I evaluate $\sum_{n=0}^\infty (n+1)x^n$ added 210 characters in body Nov 20 comment Differentiating a period of an elliptic curve under the integral sign @peterag No, and I do not think I can make it any simpler: encloses means surrounds. Have a look at this question and Christian's answer. Nov 20 comment Differentiating a contour integral Also, what do you mean by "$z$ picks up a factor of $-1$"? Thanks Nov 20 comment Differentiating a contour integral Just to clarity: $n(\gamma_0, z)$ is the winding number of $\gamma_0$ about $z$, correct? Nov 20 accepted Differentiating a contour integral Nov 20 comment Differentiating a period of an elliptic curve under the integral sign @peterag What is your question? To enclose means to surround. To enclose two roots by $\gamma$ means to surround two roots by $\gamma$. Two of the roots are the interior points of $\gamma$ and the third is an exterior point of $\gamma$. Nov 19 comment Differentiating a period of an elliptic curve under the integral sign @peterag Suppose $e_1, e_2 \in \gamma$, $e_3 \not \in \gamma$, say, and $e_3 \not \in \partial \gamma$. Nov 16 asked Differentiating a contour integral Nov 14 asked Differentiating a period of an elliptic curve under the integral sign Oct 17 awarded Good Answer Oct 15 answered proving montonity and convergence of sequence en = (1 + 1/n)^n Oct 13 awarded Nice Question Jul 23 awarded Yearling